470722560 has 384 divisors, whose sum is σ = 1886976000. Its totient is φ = 97320960.

The previous prime is 470722559. The next prime is 470722573. The reversal of 470722560 is 65227074.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (33).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2365341 + ... + 2365539.

It is an arithmetic number, because the mean of its divisors is an integer number (4914000).

Almost surely, 2^470722560 is an apocalyptic number.

470722560 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 470722560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (943488000).

470722560 is an abundant number, since it is smaller than the sum of its proper divisors (1416253440).

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

470722560 is a wasteful number, since it uses less digits than its factorization.

470722560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 247 (or 227 counting only the distinct ones).

The product of its (nonzero) digits is 23520, while the sum is 33.

The square root of 470722560 is about 21696.1415924583. The cubic root of 470722560 is about 777.8962376184.

The spelling of 470722560 in words is "four hundred seventy million, seven hundred twenty-two thousand, five hundred sixty".