432312480 has 144 divisors (see below), whose sum is σ = 1481354784. Its totient is φ = 114808320.

The previous prime is 432312457. The next prime is 432312509. The reversal of 432312480 is 84213234.

It is a tau number, because it is divible by the number of its divisors (144).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 476187 + ... + 477093.

It is an arithmetic number, because the mean of its divisors is an integer number (10287186).

Almost surely, 2^432312480 is an apocalyptic number.

432312480 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 432312480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (740677392).

432312480 is an abundant number, since it is smaller than the sum of its proper divisors (1049042304).

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

432312480 is a wasteful number, since it uses less digits than its factorization.

432312480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1259 (or 1248 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

The square root of 432312480 is about 20792.1254324804. The cubic root of 432312480 is about 756.1348545861.

The spelling of 432312480 in words is "four hundred thirty-two million, three hundred twelve thousand, four hundred eighty".