402984400 has 120 divisors (see below), whose sum is σ = 1191701504. Its totient is φ = 127526400.

The previous prime is 402984397. The next prime is 402984437. The reversal of 402984400 is 4489204.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 30865 + ... + 41935.

Almost surely, 2^402984400 is an apocalyptic number.

402984400 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 402984400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (595850752).

402984400 is an abundant number, since it is smaller than the sum of its proper divisors (788717104).

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

402984400 is a wasteful number, since it uses less digits than its factorization.

402984400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11109 (or 11098 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 31.

The square root of 402984400 is about 20074.4713504491. The cubic root of 402984400 is about 738.6341985205.

The spelling of 402984400 in words is "four hundred two million, nine hundred eighty-four thousand, four hundred".