396816900 has 144 divisors (see below), whose sum is σ = 1237420800. Its totient is φ = 97856640.

The previous prime is 396816887. The next prime is 396816991. The reversal of 396816900 is 9618693.

It is a super-2 number, since 2×396816900² = 314927304251220000, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 244291 + ... + 245909.

It is an arithmetic number, because the mean of its divisors is an integer number (8593200).

Almost surely, 2^396816900 is an apocalyptic number.

396816900 is a gapful number since it is divisible by the number (30) 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 396816900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (618710400).

396816900 is an abundant number, since it is smaller than the sum of its proper divisors (840603900).

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

396816900 is a wasteful number, since it uses less digits than its factorization.

396816900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1698 (or 1691 counting only the distinct ones).

The product of its (nonzero) digits is 69984, while the sum is 42.

The square root of 396816900 is about 19920.2635524734. The cubic root of 396816900 is about 734.8466522602.

The spelling of 396816900 in words is "three hundred ninety-six million, eight hundred sixteen thousand, nine hundred".