396618400 has 36 divisors (see below), whose sum is σ = 968246622. Its totient is φ = 158647040.

The previous prime is 396618389. The next prime is 396618437. The reversal of 396618400 is 4816693.

It can be written as a sum of positive squares in 3 ways, for example, as 157854096 + 238764304 = 12564^2 + 15452^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 396618400.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 247087 + ... + 248686.

Almost surely, 2^396618400 is an apocalyptic number.

It is an amenable number.

396618400 is an abundant number, since it is smaller than the sum of its proper divisors (571628222).

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

396618400 is a wasteful number, since it uses less digits than its factorization.

396618400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 495793 (or 495780 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 37.

The square root of 396618400 is about 19915.2805654352. The cubic root of 396618400 is about 734.7241008689.

It can be divided in two parts, 3966 and 18400, that added together give a triangular number (22366 = T₂₁₁).

The spelling of 396618400 in words is "three hundred ninety-six million, six hundred eighteen thousand, four hundred".