432740880 has 400 divisors, whose sum is σ = 1769511744. Its totient is φ = 96629760.

The previous prime is 432740879. The next prime is 432740887. The reversal of 432740880 is 88047234.

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

It is not an unprimeable number, because it can be changed into a prime (432740887) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 926407 + ... + 926873.

Almost surely, 2^432740880 is an apocalyptic number.

432740880 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 432740880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (884755872).

432740880 is an abundant number, since it is smaller than the sum of its proper divisors (1336770864).

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

432740880 is a wasteful number, since it uses less digits than its factorization.

432740880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 516 (or 501 counting only the distinct ones).

The product of its (nonzero) digits is 43008, while the sum is 36.

The square root of 432740880 is about 20802.4248586553. The cubic root of 432740880 is about 756.3845360447.

The spelling of 432740880 in words is "four hundred thirty-two million, seven hundred forty thousand, eight hundred eighty".