470580120 has 96 divisors (see below), whose sum is σ = 1547910000. Its totient is φ = 123968256.

The previous prime is 470580101. The next prime is 470580139. The reversal of 470580120 is 21085074.

470580120 is a `hidden beast` number, since 4 + 70 + 580 + 12 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (470580101) and next prime (470580139).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 22006 + ... + 37754.

Almost surely, 2^470580120 is an apocalyptic number.

470580120 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 470580120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (773955000).

470580120 is an abundant number, since it is smaller than the sum of its proper divisors (1077329880).

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

470580120 is a wasteful number, since it uses less digits than its factorization.

470580120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15849 (or 15842 counting only the distinct ones).

The product of its (nonzero) digits is 2240, while the sum is 27.

The square root of 470580120 is about 21692.8587327719. The cubic root of 470580120 is about 777.8177662584.

The spelling of 470580120 in words is "four hundred seventy million, five hundred eighty thousand, one hundred twenty".