461293056 has 300 divisors, whose sum is σ = 1608683868. Its totient is φ = 131217408.

The previous prime is 461293043. The next prime is 461293061. The reversal of 461293056 is 650392164.

It is a happy number.

461293056 is a `hidden beast` number, since 4 + 612 + 9 + 30 + 5 + 6 = 666.

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

It is a self number, because there is not a number n which added to its sum of digits gives 461293056.

It is a congruent number.

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, 2032015 + ... + 2032241.

Almost surely, 2^461293056 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 461293056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (804341934).

461293056 is an abundant number, since it is smaller than the sum of its proper divisors (1147390812).

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

461293056 is an equidigital number, since it uses as much as digits as its factorization.

461293056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 271 (or 239 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 36.

The square root of 461293056 is about 21477.7339586838. The cubic root of 461293056 is about 772.6668957905. Note that the first 3 decimals are identical.

The spelling of 461293056 in words is "four hundred sixty-one million, two hundred ninety-three thousand, fifty-six".