470565504 has 128 divisors (see below), whose sum is σ = 1418860800. Its totient is φ = 153464832.

The previous prime is 470565503. The next prime is 470565547. The reversal of 470565504 is 405565074.

It is a happy number.

470565504 is a `hidden beast` number, since 47 + 0 + 565 + 50 + 4 = 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 not an unprimeable number, because it can be changed into a prime (470565503) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 160984 + ... + 163880.

It is an arithmetic number, because the mean of its divisors is an integer number (11084850).

Almost surely, 2^470565504 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 470565504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (709430400).

470565504 is an abundant number, since it is smaller than the sum of its proper divisors (948295296).

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

470565504 is a wasteful number, since it uses less digits than its factorization.

470565504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2967 (or 2949 counting only the distinct ones).

The product of its (nonzero) digits is 84000, while the sum is 36.

The square root of 470565504 is about 21692.5218450968. The cubic root of 470565504 is about 777.8097132889.

The spelling of 470565504 in words is "four hundred seventy million, five hundred sixty-five thousand, five hundred four".