474541876900 has 243 divisors, whose sum is σ = 1298827637289. Its totient is φ = 149986287360.

The previous prime is 474541876877. The next prime is 474541876903. The reversal of 474541876900 is 9678145474.

The square root of 474541876900 is 688870.

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

It can be written as a sum of positive squares in 13 ways, for example, as 411909807204 + 62632069696 = 641802^2 + 250264^2 .

It is a super-2 number, since 2×474541876900² (a number of 24 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (474541876903) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 626871322 + ... + 626872078.

Almost surely, 2^474541876900 is an apocalyptic number.

474541876900 is the 688870-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 474541876900

474541876900 is an abundant number, since it is smaller than the sum of its proper divisors (824285760389).

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

474541876900 is a wasteful number, since it uses less digits than its factorization.

474541876900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1568 (or 784 counting only the distinct ones).

The product of its (nonzero) digits is 6773760, while the sum is 55.

The spelling of 474541876900 in words is "four hundred seventy-four billion, five hundred forty-one million, eight hundred seventy-six thousand, nine hundred".