432577920 has 256 divisors, whose sum is σ = 1513598400. Its totient is φ = 104595456.

The previous prime is 432577913. The next prime is 432577927. The reversal of 432577920 is 29775234.

It is an interprime number because it is at equal distance from previous prime (432577913) and next prime (432577927).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (432577927) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 946332 + ... + 946788.

Almost surely, 2^432577920 is an apocalyptic number.

432577920 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 432577920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (756799200).

432577920 is an abundant number, since it is smaller than the sum of its proper divisors (1081020480).

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

432577920 is a wasteful number, since it uses less digits than its factorization.

432577920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 525 (or 513 counting only the distinct ones).

The product of its (nonzero) digits is 105840, while the sum is 39.

The square root of 432577920 is about 20798.5076387706. The cubic root of 432577920 is about 756.2895786039.

The spelling of 432577920 in words is "four hundred thirty-two million, five hundred seventy-seven thousand, nine hundred twenty".