471057104896 has 153 divisors (see below), whose sum is σ = 1098789295431. Its totient is φ = 201354510336.

The previous prime is 471057104891. The next prime is 471057104897. The reversal of 471057104896 is 698401750174.

It is a happy number.

The square root of 471057104896 is 686336.

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

It is a super-2 number, since 2×471057104896² (a number of 24 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (471057104891) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 1229913921 + ... + 1229914303.

Almost surely, 2^471057104896 is an apocalyptic number.

471057104896 is the 686336-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 471057104896

471057104896 is an abundant number, since it is smaller than the sum of its proper divisors (627732190535).

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

471057104896 is an frugal number, since it uses more digits than its factorization.

471057104896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 812 (or 392 counting only the distinct ones).

The product of its (nonzero) digits is 1693440, while the sum is 52.

The spelling of 471057104896 in words is "four hundred seventy-one billion, fifty-seven million, one hundred four thousand, eight hundred ninety-six".