461581272 has 24 divisors (see below), whose sum is σ = 1250116140. Its totient is φ = 153860400.

The previous prime is 461581271. The next prime is 461581277. The reversal of 461581272 is 272185164.

461581272 is a `hidden beast` number, since 4 + 6 + 1 + 581 + 2 + 72 = 666.

It is a tau number, because it is divible by the number of its divisors (24).

It is a super-2 number, since 2×461581272² = 426114541322275968, which contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (461581271) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 3205354 + ... + 3205497.

Almost surely, 2^461581272 is an apocalyptic number.

It is an amenable number.

461581272 is an abundant number, since it is smaller than the sum of its proper divisors (788534868).

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

461581272 is a wasteful number, since it uses less digits than its factorization.

461581272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6410863 (or 6410856 counting only the distinct ones).

The product of its digits is 26880, while the sum is 36.

The square root of 461581272 is about 21484.4425573483. The cubic root of 461581272 is about 772.8277831016.

The spelling of 461581272 in words is "four hundred sixty-one million, five hundred eighty-one thousand, two hundred seventy-two".