470765120 has 112 divisors (see below), whose sum is σ = 1325514240. Its totient is φ = 155817984.

The previous prime is 470765117. The next prime is 470765209. The reversal of 470765120 is 21567074.

It is a tau number, because it is divible by the number of its divisors (112).

It is a super-2 number, since 2×470765120² = 443239596417228800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 61337 + ... + 68583.

Almost surely, 2^470765120 is an apocalyptic number.

470765120 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 470765120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (662757120).

470765120 is an abundant number, since it is smaller than the sum of its proper divisors (854749120).

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

470765120 is a wasteful number, since it uses less digits than its factorization.

470765120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7300 (or 7290 counting only the distinct ones).

The product of its (nonzero) digits is 11760, while the sum is 32.

The square root of 470765120 is about 21697.1223898470. The cubic root of 470765120 is about 777.9196811985.

The spelling of 470765120 in words is "four hundred seventy million, seven hundred sixty-five thousand, one hundred twenty".