461102976 has 128 divisors (see below), whose sum is σ = 1375408800. Its totient is φ = 152064000.

The previous prime is 461102927. The next prime is 461103017. The reversal of 461102976 is 679201164.

461102976 is a `hidden beast` number, since 461 + 102 + 97 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (128).

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

It is a self number, because there is not a number n which added to its sum of digits gives 461102976.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 348396 + ... + 349716.

Almost surely, 2^461102976 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 461102976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (687704400).

461102976 is an abundant number, since it is smaller than the sum of its proper divisors (914305824).

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

461102976 is a wasteful number, since it uses less digits than its factorization.

461102976 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1445 (or 1427 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The square root of 461102976 is about 21473.3084549168. The cubic root of 461102976 is about 772.5607530691.

The spelling of 461102976 in words is "four hundred sixty-one million, one hundred two thousand, nine hundred seventy-six".