632401920 has 312 divisors, whose sum is σ = 2269365696. Its totient is φ = 162791424.

The previous prime is 632401907. The next prime is 632401937. The reversal of 632401920 is 29104236.

632401920 is a `hidden beast` number, since 632 + 4 + 0 + 1 + 9 + 20 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8663004 + ... + 8663076.

It is an arithmetic number, because the mean of its divisors is an integer number (7273608).

Almost surely, 2^632401920 is an apocalyptic number.

632401920 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 632401920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1134682848).

632401920 is an abundant number, since it is smaller than the sum of its proper divisors (1636963776).

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

632401920 is a wasteful number, since it uses less digits than its factorization.

632401920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 155 (or 130 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The square root of 632401920 is about 25147.6026690418. The cubic root of 632401920 is about 858.3499640058.

The spelling of 632401920 in words is "six hundred thirty-two million, four hundred one thousand, nine hundred twenty".