461251530624360 has 512 divisors, whose sum is σ = 1606254702796800. Its totient is φ = 103783654502400.

The previous prime is 461251530624223. The next prime is 461251530624361. The reversal of 461251530624360 is 63426035152164.

It is not an unprimeable number, because it can be changed into a prime (461251530624361) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 81796686421 + ... + 81796692059.

It is an arithmetic number, because the mean of its divisors is an integer number (3137216216400).

Almost surely, 2^{461251530624360} is an apocalyptic number.

461251530624360 is a gapful number since it is divisible by the number (40) 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 461251530624360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (803127351398400).

461251530624360 is an abundant number, since it is smaller than the sum of its proper divisors (1145003172172440).

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

461251530624360 is a wasteful number, since it uses less digits than its factorization.

461251530624360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9761 (or 9757 counting only the distinct ones).

The product of its (nonzero) digits is 3110400, while the sum is 48.

The spelling of 461251530624360 in words is "four hundred sixty-one trillion, two hundred fifty-one billion, five hundred thirty million, six hundred twenty-four thousand, three hundred sixty".