632400384 has 160 divisors (see below), whose sum is σ = 2100865536. Its totient is φ = 164229120.

The previous prime is 632400371. The next prime is 632400421. The reversal of 632400384 is 483004236.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 115599 + ... + 120945.

Almost surely, 2^632400384 is an apocalyptic number.

632400384 is a gapful number since it is divisible by the number (64) 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 632400384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1050432768).

632400384 is an abundant number, since it is smaller than the sum of its proper divisors (1468465152).

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

632400384 is a wasteful number, since it uses less digits than its factorization.

632400384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5386 (or 5370 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 30.

The square root of 632400384 is about 25147.5721293329. The cubic root of 632400384 is about 858.3492690750.

The spelling of 632400384 in words is "six hundred thirty-two million, four hundred thousand, three hundred eighty-four".