470518272 has 240 divisors, whose sum is σ = 1608647040. Its totient is φ = 129540096.

The previous prime is 470518253. The next prime is 470518277. The reversal of 470518272 is 272815074.

470518272 is a `hidden beast` number, since 4 + 70 + 518 + 2 + 72 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (470518277) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 935173 + ... + 935675.

It is an arithmetic number, because the mean of its divisors is an integer number (6702696).

Almost surely, 2^470518272 is an apocalyptic number.

470518272 is a gapful number since it is divisible by the number (42) 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 470518272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (804323520).

470518272 is an abundant number, since it is smaller than the sum of its proper divisors (1138128768).

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

470518272 is a wasteful number, since it uses less digits than its factorization.

470518272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 563 (or 544 counting only the distinct ones).

The product of its (nonzero) digits is 31360, while the sum is 36.

The square root of 470518272 is about 21691.4331476738. The cubic root of 470518272 is about 777.7836887593.

The spelling of 470518272 in words is "four hundred seventy million, five hundred eighteen thousand, two hundred seventy-two".