461012090 has 48 divisors (see below), whose sum is σ = 1053069984. Its totient is φ = 143690400.

The previous prime is 461012087. The next prime is 461012093. The reversal of 461012090 is 90210164.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (461012087) and next prime (461012093).

It is not an unprimeable number, because it can be changed into a prime (461012093) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 37376 + ... + 48155.

It is an arithmetic number, because the mean of its divisors is an integer number (21938958).

Almost surely, 2^461012090 is an apocalyptic number.

461012090 is an abundant number, since it is smaller than the sum of its proper divisors (592057894).

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

461012090 is a wasteful number, since it uses less digits than its factorization.

461012090 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 85563 (or 85556 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 23.

The square root of 461012090 is about 21471.1920954566. The cubic root of 461012090 is about 772.5099910383.

The spelling of 461012090 in words is "four hundred sixty-one million, twelve thousand, ninety".