632400 has 120 divisors (see below), whose sum is σ = 2214144. Its totient is φ = 153600.

The previous prime is 632393. The next prime is 632447. The reversal of 632400 is 4236.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 632400.

It is a congruent number.

It is an unprimeable number.

632400 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 20385 + ... + 20415.

2⁶³²⁴⁰⁰ is an apocalyptic number.

632400 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 632400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1107072).

632400 is an abundant number, since it is smaller than the sum of its proper divisors (1581744).

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

632400 is a wasteful number, since it uses less digits than its factorization.

632400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 69 (or 58 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 15.

The square root of 632400 is about 795.2358140828. The cubic root of 632400 is about 85.8349095342.

Adding to 632400 its reverse (4236), we get a palindrome (636636).

The spelling of 632400 in words is "six hundred thirty-two thousand, four hundred".