461625007200 has 576 divisors, whose sum is σ = 1741586531328. Its totient is φ = 104030208000.

The previous prime is 461625007187. The next prime is 461625007211. The reversal of 461625007200 is 2700526164.

It is a congruent number.

It is an unprimeable number.

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 95 ways as a sum of consecutive naturals, for example, 384366600 + ... + 384367800.

It is an arithmetic number, because the mean of its divisors is an integer number (3023587728).

Almost surely, 2^461625007200 is an apocalyptic number.

461625007200 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 461625007200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (870793265664).

461625007200 is an abundant number, since it is smaller than the sum of its proper divisors (1279961524128).

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

461625007200 is a wasteful number, since it uses less digits than its factorization.

461625007200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1535 (or 1522 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 33.

The spelling of 461625007200 in words is "four hundred sixty-one billion, six hundred twenty-five million, seven thousand, two hundred".