461536944 has 80 divisors (see below), whose sum is σ = 1377233280. Its totient is φ = 131630080.

The previous prime is 461536913. The next prime is 461536949. The reversal of 461536944 is 449635164.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 461536896 and 461536905.

It is not an unprimeable number, because it can be changed into a prime (461536949) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 16734 + ... + 34685.

It is an arithmetic number, because the mean of its divisors is an integer number (17215416).

Almost surely, 2^461536944 is an apocalyptic number.

461536944 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

461536944 is an abundant number, since it is smaller than the sum of its proper divisors (915696336).

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

461536944 is a wasteful number, since it uses less digits than its factorization.

461536944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 51458 (or 51452 counting only the distinct ones).

The product of its digits is 311040, while the sum is 42.

The square root of 461536944 is about 21483.4109023684. The cubic root of 461536944 is about 772.8030427804.

The spelling of 461536944 in words is "four hundred sixty-one million, five hundred thirty-six thousand, nine hundred forty-four".