470455058880576 has 1323 divisors, whose sum is σ = 1743468867205533. Its totient is φ = 120936365383680.

The previous prime is 470455058880563. The next prime is 470455058880593. The reversal of 470455058880576 is 675088850554074.

The square root of 470455058880576 is 21689976.

It is a perfect power (a square), and thus also a powerful number.

470455058880576 is a `hidden beast` number, since 4 + 7 + 0 + 45 + 5 + 0 + 5 + 8 + 8 + 8 + 0 + 576 = 666.

It can be written as a sum of positive squares in only one way, i.e., 211252271630400 + 259202787250176 = 14534520^2 + 16099776^2 .

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a polite number, since it can be written in 188 ways as a sum of consecutive naturals, for example, 4850052153360 + ... + 4850052153456.

Almost surely, 2^{470455058880576} is an apocalyptic number.

470455058880576 is the 21689976-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 470455058880576

470455058880576 is an abundant number, since it is smaller than the sum of its proper divisors (1273013808324957).

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

470455058880576 is an frugal number, since it uses more digits than its factorization.

470455058880576 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 292 (or 120 counting only the distinct ones).

The product of its (nonzero) digits is 1505280000, while the sum is 72.

The spelling of 470455058880576 in words is "four hundred seventy trillion, four hundred fifty-five billion, fifty-eight million, eight hundred eighty thousand, five hundred seventy-six".