432816048 has 360 divisors, whose sum is σ = 1561963520. Its totient is φ = 113374080.

The previous prime is 432815987. The next prime is 432816053. The reversal of 432816048 is 840618234.

432816048 is a `hidden beast` number, since 43 + 2 + 8 + 1 + 604 + 8 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 13961793 + ... + 13961823.

Almost surely, 2^432816048 is an apocalyptic number.

432816048 is a gapful number since it is divisible by the number (48) 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 432816048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (780981760).

432816048 is an abundant number, since it is smaller than the sum of its proper divisors (1129147472).

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

432816048 is an equidigital number, since it uses as much as digits as its factorization.

432816048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 89 (or 62 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The square root of 432816048 is about 20804.2314926555. The cubic root of 432816048 is about 756.4283287035.

The spelling of 432816048 in words is "four hundred thirty-two million, eight hundred sixteen thousand, forty-eight".