632678400 has 216 divisors, whose sum is σ = 2267491590. Its totient is φ = 168591360.

The previous prime is 632678369. The next prime is 632678447. The reversal of 632678400 is 4876236.

It can be written as a sum of positive squares in 3 ways, for example, as 608707584 + 23970816 = 24672^2 + 4896^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 460114 + ... + 461486.

Almost surely, 2^632678400 is an apocalyptic number.

632678400 is a gapful number since it is divisible by the number (60) 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 632678400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1133745795).

632678400 is an abundant number, since it is smaller than the sum of its proper divisors (1634813190).

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

632678400 is a wasteful number, since it uses less digits than its factorization.

632678400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1411 (or 1383 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The square root of 632678400 is about 25153.0992126219. The cubic root of 632678400 is about 858.4750332140.

The spelling of 632678400 in words is "six hundred thirty-two million, six hundred seventy-eight thousand, four hundred".