461631296 has 112 divisors (see below), whose sum is σ = 1111666560. Its totient is φ = 185794560.

The previous prime is 461631283. The next prime is 461631301. The reversal of 461631296 is 692136164.

It is a tau number, because it is divible by the number of its divisors (112).

It is a Harshad number since it is a multiple of its sum of digits (38).

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, 1642676 + ... + 1642956.

Almost surely, 2^461631296 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 461631296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (555833280).

461631296 is an abundant number, since it is smaller than the sum of its proper divisors (650035264).

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

461631296 is a wasteful number, since it uses less digits than its factorization.

461631296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 512 (or 502 counting only the distinct ones).

The product of its digits is 46656, while the sum is 38.

The square root of 461631296 is about 21485.6067170560. The cubic root of 461631296 is about 772.8557005691.

The spelling of 461631296 in words is "four hundred sixty-one million, six hundred thirty-one thousand, two hundred ninety-six".