461407500 has 90 divisors (see below), whose sum is σ = 1457524068. Its totient is φ = 123036000.

The previous prime is 461407483. The next prime is 461407511. The reversal of 461407500 is 5704164.

It is a tau number, because it is divible by the number of its divisors (90).

It is an unprimeable number.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 12247 + ... + 32753.

Almost surely, 2^461407500 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 461407500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (728762034).

461407500 is an abundant number, since it is smaller than the sum of its proper divisors (996116568).

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

461407500 is a wasteful number, since it uses less digits than its factorization.

461407500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20537 (or 20517 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 27.

The square root of 461407500 is about 21480.3980410047. The cubic root of 461407500 is about 772.7307884919.

The spelling of 461407500 in words is "four hundred sixty-one million, four hundred seven thousand, five hundred".