402364128 has 96 divisors (see below), whose sum is σ = 1111283712. Its totient is φ = 127296000.

The previous prime is 402364087. The next prime is 402364141. The reversal of 402364128 is 821463204.

It is a tau number, because it is divible by the number of its divisors (96).

It is a hoax number, since the sum of its digits (30) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 402364095 and 402364104.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 156453 + ... + 159003.

It is an arithmetic number, because the mean of its divisors is an integer number (11575872).

Almost surely, 2^402364128 is an apocalyptic number.

402364128 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 402364128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (555641856).

402364128 is an abundant number, since it is smaller than the sum of its proper divisors (708919584).

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

402364128 is a wasteful number, since it uses less digits than its factorization.

402364128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2648 (or 2640 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 30.

The square root of 402364128 is about 20059.0161274176. The cubic root of 402364128 is about 738.2550363033.

The spelling of 402364128 in words is "four hundred two million, three hundred sixty-four thousand, one hundred twenty-eight".