402988800 has 216 divisors, whose sum is σ = 1348385920. Its totient is φ = 105984000.

The previous prime is 402988739. The next prime is 402988801. The reversal of 402988800 is 8889204.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (402988801) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2668725 + ... + 2668875.

Almost surely, 2^402988800 is an apocalyptic number.

402988800 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 402988800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (674192960).

402988800 is an abundant number, since it is smaller than the sum of its proper divisors (945397120).

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

402988800 is a wasteful number, since it uses less digits than its factorization.

402988800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 319 (or 300 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 39.

The square root of 402988800 is about 20074.5809420770. The cubic root of 402988800 is about 738.6368867789.

It can be divided in two parts, 4029 and 88800, that added together give a palindrome (92829).

The spelling of 402988800 in words is "four hundred two million, nine hundred eighty-eight thousand, eight hundred".