432666720 has 72 divisors (see below), whose sum is σ = 1476480096. Its totient is φ = 115377408.

The previous prime is 432666713. The next prime is 432666749. The reversal of 432666720 is 27666234.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (72).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 148792 + ... + 151671.

It is an arithmetic number, because the mean of its divisors is an integer number (20506668).

Almost surely, 2^432666720 is an apocalyptic number.

432666720 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

432666720 is an abundant number, since it is smaller than the sum of its proper divisors (1043813376).

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

432666720 is a wasteful number, since it uses less digits than its factorization.

432666720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 300484 (or 300473 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 36.

The square root of 432666720 is about 20800.6422977753. The cubic root of 432666720 is about 756.3413256738.

The spelling of 432666720 in words is "four hundred thirty-two million, six hundred sixty-six thousand, seven hundred twenty".