402457920 has 112 divisors (see below), whose sum is σ = 1288255488. Its totient is φ = 106444800.

The previous prime is 402457919. The next prime is 402457961. The reversal of 402457920 is 29754204.

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, 120270 + ... + 123570.

Almost surely, 2^402457920 is an apocalyptic number.

402457920 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 402457920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (644127744).

402457920 is an abundant number, since it is smaller than the sum of its proper divisors (885797568).

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

402457920 is a wasteful number, since it uses less digits than its factorization.

402457920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3448 (or 3438 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 33.

The square root of 402457920 is about 20061.3538924969. The cubic root of 402457920 is about 738.3123948268.

The spelling of 402457920 in words is "four hundred two million, four hundred fifty-seven thousand, nine hundred twenty".