432469752000 has 448 divisors, whose sum is σ = 1677681427968. Its totient is φ = 96775680000.

The previous prime is 432469751983. The next prime is 432469752019. The reversal of 432469752000 is 257964234.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3368995 + ... + 3495005.

It is an arithmetic number, because the mean of its divisors is an integer number (3744824616).

Almost surely, 2^432469752000 is an apocalyptic number.

432469752000 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 432469752000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (838840713984).

432469752000 is an abundant number, since it is smaller than the sum of its proper divisors (1245211675968).

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

432469752000 is a wasteful number, since it uses less digits than its factorization.

432469752000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 126065 (or 126045 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 42.

The spelling of 432469752000 in words is "four hundred thirty-two billion, four hundred sixty-nine million, seven hundred fifty-two thousand".