461957472 has 192 divisors, whose sum is σ = 1415232000. Its totient is φ = 146409984.

The previous prime is 461957467. The next prime is 461957491. The reversal of 461957472 is 274759164.

461957472 is a `hidden beast` number, since 4 + 6 + 1 + 9 + 574 + 72 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2580679 + ... + 2580857.

It is an arithmetic number, because the mean of its divisors is an integer number (7371000).

Almost surely, 2^461957472 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 461957472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (707616000).

461957472 is an abundant number, since it is smaller than the sum of its proper divisors (953274528).

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

461957472 is a wasteful number, since it uses less digits than its factorization.

461957472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 330 (or 316 counting only the distinct ones).

The product of its digits is 423360, while the sum is 45.

The square root of 461957472 is about 21493.1959466246. The cubic root of 461957472 is about 773.0376839209.

The spelling of 461957472 in words is "four hundred sixty-one million, nine hundred fifty-seven thousand, four hundred seventy-two".