470665728 has 280 divisors, whose sum is σ = 1534086708. Its totient is φ = 143327232.

The previous prime is 470665697. The next prime is 470665733. The reversal of 470665728 is 827566074.

470665728 is a `hidden beast` number, since 4 + 70 + 6 + 6 + 572 + 8 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 448084224 + 22581504 = 21168^2 + 4752^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 4852176 + ... + 4852272.

Almost surely, 2^470665728 is an apocalyptic number.

470665728 is a gapful number since it is divisible by the number (48) 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 470665728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (767043354).

470665728 is an abundant number, since it is smaller than the sum of its proper divisors (1063420980).

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

470665728 is an frugal number, since it uses more digits than its factorization.

470665728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 146 (or 115 counting only the distinct ones).

The product of its (nonzero) digits is 564480, while the sum is 45.

The square root of 470665728 is about 21694.8318269582. The cubic root of 470665728 is about 777.8649303035.

The spelling of 470665728 in words is "four hundred seventy million, six hundred sixty-five thousand, seven hundred twenty-eight".