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498061440 = 27335193741
BaseRepresentation
bin11101101011111…
…101000010000000
31021201012010212000
4131223331002000
52010000431230
6121231104000
715225311112
oct3553750200
91251163760
10498061440
11236162a28
1211a972000
137c256916
144a20d3b2
152dad3b60
hex1dafd080

498061440 has 512 divisors, whose sum is σ = 1953504000. Its totient is φ = 119439360.

The previous prime is 498061433. The next prime is 498061441. The reversal of 498061440 is 44160894.

It is a happy number.

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 = 498061395 and 498061404.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (498061441) 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, 12147820 + ... + 12147860.

Almost surely, 2498061440 is an apocalyptic number.

498061440 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 498061440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (976752000).

498061440 is an abundant number, since it is smaller than the sum of its proper divisors (1455442560).

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

498061440 is a wasteful number, since it uses less digits than its factorization.

498061440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 125 (or 107 counting only the distinct ones).

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

The square root of 498061440 is about 22317.2901580815. The cubic root of 498061440 is about 792.6734400653.

It can be divided in two parts, 498061 and 440, that added together give a triangular number (498501 = T998).

The spelling of 498061440 in words is "four hundred ninety-eight million, sixty-one thousand, four hundred forty".