461625124900 has 27 divisors (see below), whose sum is σ = 1001741264881. Its totient is φ = 184647332240.

The previous prime is 461625124871. The next prime is 461625124907. The reversal of 461625124900 is 9421526164.

The square root of 461625124900 is 679430.

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

It can be written as a sum of positive squares in only one way, i.e., 166185044964 + 295440079936 = 407658^2 + 543544^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (461625124907) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 6760329 + ... + 6828271.

Almost surely, 2^461625124900 is an apocalyptic number.

461625124900 is the 679430-th square number.

It is an amenable number.

461625124900 is an abundant number, since it is smaller than the sum of its proper divisors (540116139981).

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

461625124900 is an frugal number, since it uses more digits than its factorization.

461625124900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 135900 (or 67950 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 40.

The spelling of 461625124900 in words is "four hundred sixty-one billion, six hundred twenty-five million, one hundred twenty-four thousand, nine hundred".