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401698440 = 233551113172
BaseRepresentation
bin10111111100010…
…110111010001000
31000222212101200000
4113330112322020
51310313322230
6103505443000
712645244323
oct2774267210
91028771600
10401698440
11196825a90
12b2640460
13652b76b0
143b4c77ba
15253ebb60
hex17f16e88

401698440 has 576 divisors, whose sum is σ = 1689629760. Its totient is φ = 84602880.

The previous prime is 401698417. The next prime is 401698441. The reversal of 401698440 is 44896104.

It is a happy number.

It is a super-2 number, since 2×4016984402 = 322723273396867200, which contains 22 as substring.

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 = 401698395 and 401698404.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (401698441) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 23629312 + ... + 23629328.

It is an arithmetic number, because the mean of its divisors is an integer number (2933385).

Almost surely, 2401698440 is an apocalyptic number.

401698440 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 401698440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (844814880).

401698440 is an abundant number, since it is smaller than the sum of its proper divisors (1287931320).

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

401698440 is a wasteful number, since it uses less digits than its factorization.

401698440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 84 (or 51 counting only the distinct ones).

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

The square root of 401698440 is about 20042.4160220269. The cubic root of 401698440 is about 737.8476782599.

The spelling of 401698440 in words is "four hundred one million, six hundred ninety-eight thousand, four hundred forty".