470136960 has 192 divisors, whose sum is σ = 1684126080. Its totient is φ = 125328384.

The previous prime is 470136929. The next prime is 470136973. The reversal of 470136960 is 69631074.

It is a tau number, because it is divible by the number of its divisors (192).

It is a super-2 number, since 2×470136960² = 442057522316083200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 154009 + ... + 157031.

It is an arithmetic number, because the mean of its divisors is an integer number (8771490).

Almost surely, 2^470136960 is an apocalyptic number.

470136960 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 470136960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (842063040).

470136960 is an abundant number, since it is smaller than the sum of its proper divisors (1213989120).

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

470136960 is an equidigital number, since it uses as much as digits as its factorization.

470136960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3057 (or 3033 counting only the distinct ones).

The product of its (nonzero) digits is 27216, while the sum is 36.

The square root of 470136960 is about 21682.6419054505. The cubic root of 470136960 is about 777.5735244758.

The spelling of 470136960 in words is "four hundred seventy million, one hundred thirty-six thousand, nine hundred sixty".