461272944 has 80 divisors (see below), whose sum is σ = 1303916544. Its totient is φ = 139353600.

The previous prime is 461272913. The next prime is 461272961. The reversal of 461272944 is 449272164.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 201084 + ... + 203364.

Almost surely, 2^461272944 is an apocalyptic number.

461272944 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 461272944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (651958272).

461272944 is an abundant number, since it is smaller than the sum of its proper divisors (842643600).

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

461272944 is a wasteful number, since it uses less digits than its factorization.

461272944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2686 (or 2680 counting only the distinct ones).

The product of its digits is 96768, while the sum is 39.

The square root of 461272944 is about 21477.2657477622. The cubic root of 461272944 is about 772.6556664124.

The spelling of 461272944 in words is "four hundred sixty-one million, two hundred seventy-two thousand, nine hundred forty-four".