470470752 has 72 divisors (see below), whose sum is σ = 1366406496. Its totient is φ = 153482496.

The previous prime is 470470729. The next prime is 470470811. The reversal of 470470752 is 257074074.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (72).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3843 + ... + 30914.

It is an arithmetic number, because the mean of its divisors is an integer number (18977868).

Almost surely, 2^470470752 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 470470752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (683203248).

470470752 is an abundant number, since it is smaller than the sum of its proper divisors (895935744).

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

470470752 is a wasteful number, since it uses less digits than its factorization.

470470752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34820 (or 34809 counting only the distinct ones).

The product of its (nonzero) digits is 54880, while the sum is 36.

The square root of 470470752 is about 21690.3377567063. The cubic root of 470470752 is about 777.7575037860.

The spelling of 470470752 in words is "four hundred seventy million, four hundred seventy thousand, seven hundred fifty-two".