432251520 has 384 divisors, whose sum is σ = 1578225600. Its totient is φ = 100270080.

The previous prime is 432251509. The next prime is 432251549. The reversal of 432251520 is 25152234.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 10542700 + ... + 10542740.

Almost surely, 2^432251520 is an apocalyptic number.

432251520 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 432251520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (789112800).

432251520 is an abundant number, since it is smaller than the sum of its proper divisors (1145974080).

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

432251520 is a wasteful number, since it uses less digits than its factorization.

432251520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 116 (or 87 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 24.

The square root of 432251520 is about 20790.6594412010. The cubic root of 432251520 is about 756.0993122801.

The spelling of 432251520 in words is "four hundred thirty-two million, two hundred fifty-one thousand, five hundred twenty".