461501868 has 48 divisors (see below), whose sum is σ = 1138592000. Its totient is φ = 145084608.

The previous prime is 461501837. The next prime is 461501869. The reversal of 461501868 is 868105164.

It is not an unprimeable number, because it can be changed into a prime (461501869) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 47793 + ... + 56631.

Almost surely, 2^461501868 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 461501868, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (569296000).

461501868 is an abundant number, since it is smaller than the sum of its proper divisors (677090132).

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

461501868 is a wasteful number, since it uses less digits than its factorization.

461501868 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9094 (or 9092 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 39.

The square root of 461501868 is about 21482.5945360424. The cubic root of 461501868 is about 772.7834650582.

The spelling of 461501868 in words is "four hundred sixty-one million, five hundred one thousand, eight hundred sixty-eight".