636048400 has 135 divisors (see below), whose sum is σ = 1671929541. Its totient is φ = 232427520.

The previous prime is 636048383. The next prime is 636048419. The reversal of 636048400 is 4840636.

The square root of 636048400 is 25220.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 13 ways, for example, as 610485264 + 25563136 = 24708^2 + 5056^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 6557152 + ... + 6557248.

Almost surely, 2^636048400 is an apocalyptic number.

636048400 is the 25220-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 636048400

636048400 is an abundant number, since it is smaller than the sum of its proper divisors (1035881141).

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

636048400 is a wasteful number, since it uses less digits than its factorization.

636048400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 238 (or 117 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 31.

The cubic root of 636048400 is about 859.9965747114.

The spelling of 636048400 in words is "six hundred thirty-six million, forty-eight thousand, four hundred".