461925600 has 144 divisors (see below), whose sum is σ = 1512746928. Its totient is φ = 122429440.

The previous prime is 461925593. The next prime is 461925613. The reversal of 461925600 is 6529164.

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 472312 + ... + 473288.

It is an arithmetic number, because the mean of its divisors is an integer number (10505187).

Almost surely, 2^461925600 is an apocalyptic number.

461925600 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 461925600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (756373464).

461925600 is an abundant number, since it is smaller than the sum of its proper divisors (1050821328).

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

461925600 is a wasteful number, since it uses less digits than its factorization.

461925600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1197 (or 1184 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 33.

The square root of 461925600 is about 21492.4544898902. The cubic root of 461925600 is about 773.0199053553.

The spelling of 461925600 in words is "four hundred sixty-one million, nine hundred twenty-five thousand, six hundred".