461992090 has 36 divisors (see below), whose sum is σ = 968352138. Its totient is φ = 158234160.

The previous prime is 461992073. The next prime is 461992109. The reversal of 461992090 is 90299164.

It can be written as a sum of positive squares in only one way, i.e., 415792881 + 46199209 = 20391^2 + 6797^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 475305 + ... + 476275.

Almost surely, 2^461992090 is an apocalyptic number.

461992090 is an abundant number, since it is smaller than the sum of its proper divisors (506360048).

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

461992090 is an frugal number, since it uses more digits than its factorization.

461992090 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1963 (or 985 counting only the distinct ones).

The product of its (nonzero) digits is 34992, while the sum is 40.

The square root of 461992090 is about 21494.0012561645. The cubic root of 461992090 is about 773.0569933103.

Multiplying 461992090 by its sum of digits (40), we get a square (18479683600 = 135940²).

The spelling of 461992090 in words is "four hundred sixty-one million, nine hundred ninety-two thousand, ninety".