432480 has 96 divisors (see below), whose sum is σ = 1469664. Its totient is φ = 106496.

The previous prime is 432479. The next prime is 432491. The reversal of 432480 is 84234.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is a nialpdrome in base 15.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8134 + ... + 8186.

It is an arithmetic number, because the mean of its divisors is an integer number (15309).

2⁴³²⁴⁸⁰ is an apocalyptic number.

432480 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 432480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (734832).

432480 is an abundant number, since it is smaller than the sum of its proper divisors (1037184).

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

432480 is a wasteful number, since it uses less digits than its factorization.

432480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 88 (or 80 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 21.

The square root of 432480 is about 657.6321160041. The cubic root of 432480 is about 75.6232508759.

The spelling of 432480 in words is "four hundred thirty-two thousand, four hundred eighty".