461014956 has 48 divisors (see below), whose sum is σ = 1196479200. Its totient is φ = 153510336.

The previous prime is 461014949. The next prime is 461014969. The reversal of 461014956 is 659410164.

461014956 is a `hidden beast` number, since 461 + 0 + 149 + 56 = 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 461014956.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 146730 + ... + 149838.

It is an arithmetic number, because the mean of its divisors is an integer number (24926650).

Almost surely, 2^461014956 is an apocalyptic number.

It is an amenable number.

461014956 is an abundant number, since it is smaller than the sum of its proper divisors (735464244).

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

461014956 is a wasteful number, since it uses less digits than its factorization.

461014956 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4495 (or 4487 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The square root of 461014956 is about 21471.2588359416. The cubic root of 461014956 is about 772.5115918705.

The spelling of 461014956 in words is "four hundred sixty-one million, fourteen thousand, nine hundred fifty-six".