470637360 has 240 divisors, whose sum is σ = 1645207200. Its totient is φ = 120483840.

The previous prime is 470637359. The next prime is 470637379. The reversal of 470637360 is 63736074.

470637360 is a `hidden beast` number, since 470 + 63 + 73 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

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 (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3158566 + ... + 3158714.

It is an arithmetic number, because the mean of its divisors is an integer number (6855030).

Almost surely, 2^470637360 is an apocalyptic number.

470637360 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 470637360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (822603600).

470637360 is an abundant number, since it is smaller than the sum of its proper divisors (1174569840).

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

470637360 is a wasteful number, since it uses less digits than its factorization.

470637360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 316 (or 307 counting only the distinct ones).

The product of its (nonzero) digits is 63504, while the sum is 36.

The square root of 470637360 is about 21694.1780208424. The cubic root of 470637360 is about 777.8493021450.

The spelling of 470637360 in words is "four hundred seventy million, six hundred thirty-seven thousand, three hundred sixty".