402051564 has 72 divisors (see below), whose sum is σ = 1078944048. Its totient is φ = 125798400.

The previous prime is 402051557. The next prime is 402051593. The reversal of 402051564 is 465150204.

It is a super-2 number, since 2×402051564² = 323290920229692192, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 334164 + ... + 335364.

It is an arithmetic number, because the mean of its divisors is an integer number (14985334).

Almost surely, 2^402051564 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 402051564, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (539472024).

402051564 is an abundant number, since it is smaller than the sum of its proper divisors (676892484).

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

402051564 is a wasteful number, since it uses less digits than its factorization.

402051564 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1775 (or 1770 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 27.

The square root of 402051564 is about 20051.2235038164. The cubic root of 402051564 is about 738.0638233300.

The spelling of 402051564 in words is "four hundred two million, fifty-one thousand, five hundred sixty-four".