402875424 has 192 divisors, whose sum is σ = 1389830400. Its totient is φ = 111089664.

The previous prime is 402875413. The next prime is 402875461. The reversal of 402875424 is 424578204.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 174244 + ... + 176540.

It is an arithmetic number, because the mean of its divisors is an integer number (7238700).

Almost surely, 2^402875424 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 402875424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (694915200).

402875424 is an abundant number, since it is smaller than the sum of its proper divisors (986954976).

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

402875424 is a wasteful number, since it uses less digits than its factorization.

402875424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2352 (or 2338 counting only the distinct ones).

The product of its (nonzero) digits is 71680, while the sum is 36.

The square root of 402875424 is about 20071.7568737766. The cubic root of 402875424 is about 738.5676114456.

It can be divided in two parts, 402 and 875424, that added together give a triangular number (875826 = T₁₃₂₃).

The spelling of 402875424 in words is "four hundred two million, eight hundred seventy-five thousand, four hundred twenty-four".