461745900 has 288 divisors, whose sum is σ = 1851548160. Its totient is φ = 95904000.

The previous prime is 461745887. The next prime is 461745919. The reversal of 461745900 is 9547164.

461745900 is a `hidden beast` number, since 4 + 61 + 7 + 4 + 590 + 0 = 666.

461745900 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 206790 + ... + 209010.

Almost surely, 2^461745900 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 461745900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (925774080).

461745900 is an abundant number, since it is smaller than the sum of its proper divisors (1389802260).

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

461745900 is a wasteful number, since it uses less digits than its factorization.

461745900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2262 (or 2249 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The square root of 461745900 is about 21488.2735462857. The cubic root of 461745900 is about 772.9196513359.

The spelling of 461745900 in words is "four hundred sixty-one million, seven hundred forty-five thousand, nine hundred".