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461098440 = 2333511371049
BaseRepresentation
bin11011011110111…
…100110111001000
31012010122020011000
4123132330313020
51421020122230
6113430535000
714266162215
oct3336746710
91163566130
10461098440
112173070a0
1210a507460
13746b451a
144534ab0c
152a731b60
hex1b7bcdc8

461098440 has 256 divisors, whose sum is σ = 1723680000. Its totient is φ = 108656640.

The previous prime is 461098439. The next prime is 461098447. The reversal of 461098440 is 44890164.

It is a happy number.

It is a super-2 number, since 2×4610984402 = 425223542740867200, which contains 22 as substring.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 461098395 and 461098404.

It is not an unprimeable number, because it can be changed into a prime (461098447) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 439036 + ... + 440084.

It is an arithmetic number, because the mean of its divisors is an integer number (6733125).

Almost surely, 2461098440 is an apocalyptic number.

461098440 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 461098440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (861840000).

461098440 is an abundant number, since it is smaller than the sum of its proper divisors (1262581560).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

461098440 is a wasteful number, since it uses less digits than its factorization.

461098440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1117 (or 1107 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 461098440 is about 21473.2028351618. The cubic root of 461098440 is about 772.5582197614.

The spelling of 461098440 in words is "four hundred sixty-one million, ninety-eight thousand, four hundred forty".