732516480 has 128 divisors (see below), whose sum is σ = 2594390400. Its totient is φ = 195333120.

The previous prime is 732516469. The next prime is 732516493. The reversal of 732516480 is 84615237.

732516480 is a `hidden beast` number, since 7 + 3 + 2 + 5 + 1 + 648 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (128).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3916 + ... + 38475.

It is an arithmetic number, because the mean of its divisors is an integer number (20268675).

Almost surely, 2^732516480 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 732516480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1297195200).

732516480 is an abundant number, since it is smaller than the sum of its proper divisors (1861873920).

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

732516480 is a wasteful number, since it uses less digits than its factorization.

732516480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42419 (or 42401 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The square root of 732516480 is about 27065.0416589371. The cubic root of 732516480 is about 901.4447905149. Note that the first 3 decimals are identical.

The spelling of 732516480 in words is "seven hundred thirty-two million, five hundred sixteen thousand, four hundred eighty".