432815040 has 252 divisors, whose sum is σ = 1732321656. Its totient is φ = 98896896.

The previous prime is 432815021. The next prime is 432815063. The reversal of 432815040 is 40518234.

It is a tau number, because it is divible by the number of its divisors (252).

It is a junction number, because it is equal to n+sod(n) for n = 432814995 and 432815013.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 139587 + ... + 142653.

Almost surely, 2^432815040 is an apocalyptic number.

432815040 is a gapful number since it is divisible by the number (40) 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 432815040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (866160828).

432815040 is an abundant number, since it is smaller than the sum of its proper divisors (1299506616).

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

432815040 is a wasteful number, since it uses less digits than its factorization.

432815040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3104 (or 3084 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 432815040 is about 20804.2072668006. The cubic root of 432815040 is about 756.4277414792.

The spelling of 432815040 in words is "four hundred thirty-two million, eight hundred fifteen thousand, forty".