402812160 has 144 divisors (see below), whose sum is σ = 1354436160. Its totient is φ = 101744640.

The previous prime is 402812153. The next prime is 402812203. The reversal of 402812160 is 61218204.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 402812160.

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, 70200 + ... + 75720.

Almost surely, 2^402812160 is an apocalyptic number.

402812160 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 402812160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (677218080).

402812160 is an abundant number, since it is smaller than the sum of its proper divisors (951624000).

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

402812160 is a wasteful number, since it uses less digits than its factorization.

402812160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5564 (or 5550 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 24.

The square root of 402812160 is about 20070.1808661507. The cubic root of 402812160 is about 738.5289500426.

The spelling of 402812160 in words is "four hundred two million, eight hundred twelve thousand, one hundred sixty".