432463920 has 160 divisors (see below), whose sum is σ = 1565042688. Its totient is φ = 96728064.

The previous prime is 432463909. The next prime is 432463961. The reversal of 432463920 is 29364234.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 76222 + ... + 81698.

Almost surely, 2^432463920 is an apocalyptic number.

432463920 is a gapful number since it is divisible by the number (40) 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 432463920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (782521344).

432463920 is an abundant number, since it is smaller than the sum of its proper divisors (1132578768).

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

432463920 is a wasteful number, since it uses less digits than its factorization.

432463920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5547 (or 5541 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 33.

The square root of 432463920 is about 20795.7668769392. The cubic root of 432463920 is about 756.2231361721.

The spelling of 432463920 in words is "four hundred thirty-two million, four hundred sixty-three thousand, nine hundred twenty".