402638880 has 576 divisors, whose sum is σ = 1675416960. Its totient is φ = 80510976.

The previous prime is 402638879. The next prime is 402638909. The reversal of 402638880 is 88836204.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 7596934 + ... + 7596986.

It is an arithmetic number, because the mean of its divisors is an integer number (2908710).

Almost surely, 2^402638880 is an apocalyptic number.

402638880 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 402638880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (837708480).

402638880 is an abundant number, since it is smaller than the sum of its proper divisors (1272778080).

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

402638880 is a wasteful number, since it uses less digits than its factorization.

402638880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 121 (or 106 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 39.

The square root of 402638880 is about 20065.8635498201. The cubic root of 402638880 is about 738.4230357863.

The spelling of 402638880 in words is "four hundred two million, six hundred thirty-eight thousand, eight hundred eighty".