632845440 has 256 divisors, whose sum is σ = 2286921600. Its totient is φ = 165335040.

The previous prime is 632845429. The next prime is 632845469. The reversal of 632845440 is 44548236.

632845440 is a `hidden beast` number, since 6 + 32 + 84 + 544 + 0 = 666.

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 = 632845395 and 632845404.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 915495 + ... + 916185.

Almost surely, 2^632845440 is an apocalyptic number.

632845440 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 632845440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1143460800).

632845440 is an abundant number, since it is smaller than the sum of its proper divisors (1654076160).

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

632845440 is a wasteful number, since it uses less digits than its factorization.

632845440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 772 (or 754 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 36.

The square root of 632845440 is about 25156.4194590566. The cubic root of 632845440 is about 858.5505782045.

The spelling of 632845440 in words is "six hundred thirty-two million, eight hundred forty-five thousand, four hundred forty".