470070720 has 252 divisors, whose sum is σ = 1881387144. Its totient is φ = 107412480.

The previous prime is 470070719. The next prime is 470070737. The reversal of 470070720 is 27070074.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (252).

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

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 35 ways as a sum of consecutive naturals, for example, 139455 + ... + 142785.

It is an arithmetic number, because the mean of its divisors is an integer number (7465822).

Almost surely, 2^470070720 is an apocalyptic number.

470070720 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 470070720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (940693572).

470070720 is an abundant number, since it is smaller than the sum of its proper divisors (1411316424).

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

470070720 is a wasteful number, since it uses less digits than its factorization.

470070720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3368 (or 3348 counting only the distinct ones).

The product of its (nonzero) digits is 2744, while the sum is 27.

The square root of 470070720 is about 21681.1143625045. The cubic root of 470070720 is about 777.5370039908.

The spelling of 470070720 in words is "four hundred seventy million, seventy thousand, seven hundred twenty".