470973360 has 160 divisors (see below), whose sum is σ = 1715390208. Its totient is φ = 105384960.

The previous prime is 470973353. The next prime is 470973361. The reversal of 470973360 is 63379074.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is not an unprimeable number, because it can be changed into a prime (470973361) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 27459 + ... + 41181.

Almost surely, 2^470973360 is an apocalyptic number.

470973360 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 470973360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (857695104).

470973360 is an abundant number, since it is smaller than the sum of its proper divisors (1244416848).

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

470973360 is a wasteful number, since it uses less digits than its factorization.

470973360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13763 (or 13757 counting only the distinct ones).

The product of its (nonzero) digits is 95256, while the sum is 39.

The square root of 470973360 is about 21701.9206523294. The cubic root of 470973360 is about 778.0343669216.

The spelling of 470973360 in words is "four hundred seventy million, nine hundred seventy-three thousand, three hundred sixty".