402056928 has 432 divisors, whose sum is σ = 1521767520. Its totient is φ = 97929216.

The previous prime is 402056873. The next prime is 402056933. The reversal of 402056928 is 829650204.

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 = 402056892 and 402056901.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 13864018 + ... + 13864046.

It is an arithmetic number, because the mean of its divisors is an integer number (3522610).

Almost surely, 2^402056928 is an apocalyptic number.

402056928 is a gapful number since it is divisible by the number (48) 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 402056928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (760883760).

402056928 is an abundant number, since it is smaller than the sum of its proper divisors (1119710592).

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

402056928 is a wasteful number, since it uses less digits than its factorization.

402056928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 111 (or 77 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 402056928 is about 20051.3572607941. The cubic root of 402056928 is about 738.0671056260.

The spelling of 402056928 in words is "four hundred two million, fifty-six thousand, nine hundred twenty-eight".