432355968 has 320 divisors, whose sum is σ = 1492888320. Its totient is φ = 122757120.

The previous prime is 432355949. The next prime is 432356009. The reversal of 432355968 is 869553234.

432355968 is a `hidden beast` number, since 4 + 32 + 3 + 559 + 68 = 666.

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, 1938705 + ... + 1938927.

It is an arithmetic number, because the mean of its divisors is an integer number (4665276).

Almost surely, 2^432355968 is an apocalyptic number.

432355968 is a gapful number since it is divisible by the number (48) 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 432355968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (746444160).

432355968 is an abundant number, since it is smaller than the sum of its proper divisors (1060532352).

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

432355968 is a wasteful number, since it uses less digits than its factorization.

432355968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 277 (or 256 counting only the distinct ones).

The product of its digits is 777600, while the sum is 45.

The square root of 432355968 is about 20793.1711867142. The cubic root of 432355968 is about 756.1602079216.

The spelling of 432355968 in words is "four hundred thirty-two million, three hundred fifty-five thousand, nine hundred sixty-eight".