470997504 has 200 divisors, whose sum is σ = 1445290308. Its totient is φ = 152616960.

The previous prime is 470997503. The next prime is 470997521. The reversal of 470997504 is 405799074.

It can be written as a sum of positive squares in 2 ways, for example, as 377913600 + 93083904 = 19440^2 + 9648^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 470997504.

It is not an unprimeable number, because it can be changed into a prime (470997503) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 1700214 + ... + 1700490.

Almost surely, 2^470997504 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 470997504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (722645154).

470997504 is an abundant number, since it is smaller than the sum of its proper divisors (974292804).

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

470997504 is an equidigital number, since it uses as much as digits as its factorization.

470997504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 348 (or 323 counting only the distinct ones).

The product of its (nonzero) digits is 317520, while the sum is 45.

The square root of 470997504 is about 21702.4769093300. The cubic root of 470997504 is about 778.0476617576.

The spelling of 470997504 in words is "four hundred seventy million, nine hundred ninety-seven thousand, five hundred four".