461926944 has 144 divisors (see below), whose sum is σ = 1371359808. Its totient is φ = 147350016.

The previous prime is 461926943. The next prime is 461926957. The reversal of 461926944 is 449629164.

461926944 is a `hidden beast` number, since 4 + 619 + 26 + 9 + 4 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 461926944.

It is not an unprimeable number, because it can be changed into a prime (461926943) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 713629 + ... + 714275.

It is an arithmetic number, because the mean of its divisors is an integer number (9523332).

Almost surely, 2^461926944 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 461926944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (685679904).

461926944 is an abundant number, since it is smaller than the sum of its proper divisors (909432864).

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

461926944 is a wasteful number, since it uses less digits than its factorization.

461926944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 767 (or 756 counting only the distinct ones).

The product of its digits is 373248, while the sum is 45.

The square root of 461926944 is about 21492.4857566546. The cubic root of 461926944 is about 773.0206550704.

The spelling of 461926944 in words is "four hundred sixty-one million, nine hundred twenty-six thousand, nine hundred forty-four".