59460480 has 320 divisors, whose sum is σ = 225118080. Its totient is φ = 14929920.

The previous prime is 59460463. The next prime is 59460493. The reversal of 59460480 is 8406495.

59460480 is a `hidden beast` number, since 594 + 60 + 4 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (320).

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

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1607022 + ... + 1607058.

It is an arithmetic number, because the mean of its divisors is an integer number (703494).

Almost surely, 2^59460480 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 59460480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112559040).

59460480 is an abundant number, since it is smaller than the sum of its proper divisors (165657600).

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

59460480 is a wasteful number, since it uses less digits than its factorization.

59460480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 99 (or 78 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 59460480 is about 7711.0621836424. The cubic root of 59460480 is about 390.3098129934.

The spelling of 59460480 in words is "fifty-nine million, four hundred sixty thousand, four hundred eighty".