632486400 has 480 divisors, whose sum is σ = 2585751168. Its totient is φ = 132710400.

The previous prime is 632486357. The next prime is 632486401. The reversal of 632486400 is 4684236.

It is a tau number, because it is divible by the number of its divisors (480).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (632486401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3494310 + ... + 3494490.

Almost surely, 2^632486400 is an apocalyptic number.

632486400 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 632486400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1292875584).

632486400 is an abundant number, since it is smaller than the sum of its proper divisors (1953264768).

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

632486400 is a wasteful number, since it uses less digits than its factorization.

632486400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 232 (or 211 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 33.

The square root of 632486400 is about 25149.2822959225. The cubic root of 632486400 is about 858.3881834640.

The spelling of 632486400 in words is "six hundred thirty-two million, four hundred eighty-six thousand, four hundred".