432454464 has 392 divisors, whose sum is σ = 1492495872. Its totient is φ = 123171840.

The previous prime is 432454447. The next prime is 432454469. The reversal of 432454464 is 464454234.

It is a Harshad number since it is a multiple of its sum of digits (36).

Its product of digits (184320) is a multiple of the sum of its prime divisors (72).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (432454469) by changing a digit.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 13950129 + ... + 13950159.

Almost surely, 2^432454464 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 432454464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (746247936).

432454464 is an abundant number, since it is smaller than the sum of its proper divisors (1060041408).

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

432454464 is a wasteful number, since it uses less digits than its factorization.

432454464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 97 (or 72 counting only the distinct ones).

The product of its digits is 184320, while the sum is 36.

The square root of 432454464 is about 20795.5395217340. The cubic root of 432454464 is about 756.2176244228.

The spelling of 432454464 in words is "four hundred thirty-two million, four hundred fifty-four thousand, four hundred sixty-four".