432570144 has 48 divisors (see below), whose sum is σ = 1138838400. Its totient is φ = 143765760.

The previous prime is 432570143. The next prime is 432570161. The reversal of 432570144 is 441075234.

It is a tau number, because it is divible by the number of its divisors (48).

It is not an unprimeable number, because it can be changed into a prime (432570143) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 27049 + ... + 39959.

It is an arithmetic number, because the mean of its divisors is an integer number (23725800).

Almost surely, 2^432570144 is an apocalyptic number.

It is an amenable number.

432570144 is an abundant number, since it is smaller than the sum of its proper divisors (706268256).

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

432570144 is a wasteful number, since it uses less digits than its factorization.

432570144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13273 (or 13265 counting only the distinct ones).

The product of its (nonzero) digits is 13440, while the sum is 30.

The square root of 432570144 is about 20798.3207014413. The cubic root of 432570144 is about 756.2850469016.

The spelling of 432570144 in words is "four hundred thirty-two million, five hundred seventy thousand, one hundred forty-four".