632467440 has 400 divisors, whose sum is σ = 2527873920. Its totient is φ = 144944640.

The previous prime is 632467403. The next prime is 632467453. The reversal of 632467440 is 44764236.

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

It is a junction number, because it is equal to n+sod(n) for n = 632467395 and 632467404.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 1354087 + ... + 1354553.

Almost surely, 2^632467440 is an apocalyptic number.

632467440 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 632467440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1263936960).

632467440 is an abundant number, since it is smaller than the sum of its proper divisors (1895406480).

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

632467440 is a wasteful number, since it uses less digits than its factorization.

632467440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 522 (or 507 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 36.

The square root of 632467440 is about 25148.9053439707. The cubic root of 632467440 is about 858.3796060977.

The spelling of 632467440 in words is "six hundred thirty-two million, four hundred sixty-seven thousand, four hundred forty".