432522480 has 80 divisors (see below), whose sum is σ = 1443970080. Its totient is φ = 106466304.

The previous prime is 432522473. The next prime is 432522499. The reversal of 432522480 is 84225234.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-3 number, since 3×432522480³ (a number of 27 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

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, 66195 + ... + 72434.

It is an arithmetic number, because the mean of its divisors is an integer number (18049626).

Almost surely, 2^432522480 is an apocalyptic number.

432522480 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

432522480 is an abundant number, since it is smaller than the sum of its proper divisors (1011447600).

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

432522480 is a wasteful number, since it uses less digits than its factorization.

432522480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 138658 (or 138652 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 30.

The square root of 432522480 is about 20797.1748081320. The cubic root of 432522480 is about 756.2572680585.

The spelling of 432522480 in words is "four hundred thirty-two million, five hundred twenty-two thousand, four hundred eighty".