470968320 has 96 divisors (see below), whose sum is σ = 1506828960. Its totient is φ = 125583360.

The previous prime is 470968319. The next prime is 470968321. The reversal of 470968320 is 23869074.

It is an interprime number because it is at equal distance from previous prime (470968319) and next prime (470968321).

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×470968320² = 443622316887244800, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (470968321) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 23055 + ... + 38385.

It is an arithmetic number, because the mean of its divisors is an integer number (15696135).

Almost surely, 2^470968320 is an apocalyptic number.

470968320 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 470968320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (753414480).

470968320 is an abundant number, since it is smaller than the sum of its proper divisors (1035860640).

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

470968320 is a wasteful number, since it uses less digits than its factorization.

470968320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15361 (or 15341 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 39.

The square root of 470968320 is about 21701.8045332640. The cubic root of 470968320 is about 778.0315916003.

The spelling of 470968320 in words is "four hundred seventy million, nine hundred sixty-eight thousand, three hundred twenty".