478302570 has 80 divisors (see below), whose sum is σ = 1303881480. Its totient is φ = 125784576.

The previous prime is 478302493. The next prime is 478302571. The reversal of 478302570 is 75203874.

478302570 is a `hidden beast` number, since 4 + 7 + 83 + 0 + 2 + 570 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 247779081 + 230523489 = 15741^2 + 15183^2 .

It is not an unprimeable number, because it can be changed into a prime (478302571) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 55086 + ... + 63174.

Almost surely, 2^478302570 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 478302570, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (651940740).

478302570 is an abundant number, since it is smaller than the sum of its proper divisors (825578910).

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

478302570 is a wasteful number, since it uses less digits than its factorization.

478302570 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8181 (or 8172 counting only the distinct ones).

The product of its (nonzero) digits is 47040, while the sum is 36.

The square root of 478302570 is about 21870.1296292455. The cubic root of 478302570 is about 782.0494917907.

The spelling of 478302570 in words is "four hundred seventy-eight million, three hundred two thousand, five hundred seventy".