470455752 has 128 divisors (see below), whose sum is σ = 1321205760. Its totient is φ = 138620160.

The previous prime is 470455697. The next prime is 470455757. The reversal of 470455752 is 257554074.

It is a super-2 number, since 2×470455752² = 442657229179771008, which contains 22 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 470455752.

It is not an unprimeable number, because it can be changed into a prime (470455757) 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, 1228153 + ... + 1228535.

It is an arithmetic number, because the mean of its divisors is an integer number (10321920).

Almost surely, 2^470455752 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 470455752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (660602880).

470455752 is an abundant number, since it is smaller than the sum of its proper divisors (850750008).

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

470455752 is a wasteful number, since it uses less digits than its factorization.

470455752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 563 (or 559 counting only the distinct ones).

The product of its (nonzero) digits is 196000, while the sum is 39.

The square root of 470455752 is about 21689.9919778685. The cubic root of 470455752 is about 777.7492379611.

The spelling of 470455752 in words is "four hundred seventy million, four hundred fifty-five thousand, seven hundred fifty-two".