432456948 has 576 divisors, whose sum is σ = 1654732800. Its totient is φ = 95800320.

The previous prime is 432456919. The next prime is 432456991. The reversal of 432456948 is 849654234.

432456948 is a `hidden beast` number, since 43 + 2 + 4 + 569 + 48 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 18802465 + ... + 18802487.

It is an arithmetic number, because the mean of its divisors is an integer number (2872800).

Almost surely, 2^432456948 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 432456948, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (827366400).

432456948 is an abundant number, since it is smaller than the sum of its proper divisors (1222275852).

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

432456948 is a wasteful number, since it uses less digits than its factorization.

432456948 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 97 (or 82 counting only the distinct ones).

The product of its digits is 829440, while the sum is 45.

The square root of 432456948 is about 20795.5992459943. The cubic root of 432456948 is about 756.2190723140.

The spelling of 432456948 in words is "four hundred thirty-two million, four hundred fifty-six thousand, nine hundred forty-eight".