432879552 has 280 divisors, whose sum is σ = 1494901760. Its totient is φ = 121305600.

The previous prime is 432879547. The next prime is 432879583. The reversal of 432879552 is 255978234.

432879552 is a `hidden beast` number, since 4 + 3 + 28 + 79 + 552 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 432879498 and 432879507.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 2866677 + ... + 2866827.

Almost surely, 2^432879552 is an apocalyptic number.

432879552 is a gapful number since it is divisible by the number (42) 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 432879552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (747450880).

432879552 is an abundant number, since it is smaller than the sum of its proper divisors (1062022208).

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

432879552 is a wasteful number, since it uses less digits than its factorization.

432879552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 261 (or 242 counting only the distinct ones).

The product of its digits is 604800, while the sum is 45.

The square root of 432879552 is about 20805.7576646466. The cubic root of 432879552 is about 756.4653219987.

The spelling of 432879552 in words is "four hundred thirty-two million, eight hundred seventy-nine thousand, five hundred fifty-two".