413584560 has 60 divisors (see below), whose sum is σ = 1388957232. Its totient is φ = 110289024.

The previous prime is 413584531. The next prime is 413584579. The reversal of 413584560 is 65485314.

It is a happy number.

413584560 is a `hidden beast` number, since 4 + 13 + 5 + 84 + 560 = 666.

It is a tau number, because it is divible by the number of its divisors (60).

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 (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 286492 + ... + 287931.

Almost surely, 2^413584560 is an apocalyptic number.

413584560 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

413584560 is an abundant number, since it is smaller than the sum of its proper divisors (975372672).

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

413584560 is a wasteful number, since it uses less digits than its factorization.

413584560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 574442 (or 574433 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 36.

The square root of 413584560 is about 20336.7785059483. The cubic root of 413584560 is about 745.0546091526.

The spelling of 413584560 in words is "four hundred thirteen million, five hundred eighty-four thousand, five hundred sixty".