461964976 has 80 divisors (see below), whose sum is σ = 1015077888. Its totient is φ = 201772800.

The previous prime is 461964967. The next prime is 461964977. The reversal of 461964976 is 679469164.

It is not an unprimeable number, because it can be changed into a prime (461964977) 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, 1238326 + ... + 1238698.

Almost surely, 2^461964976 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 461964976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (507538944).

461964976 is an abundant number, since it is smaller than the sum of its proper divisors (553112912).

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

461964976 is a wasteful number, since it uses less digits than its factorization.

461964976 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 650 (or 644 counting only the distinct ones).

The product of its digits is 1959552, while the sum is 52.

The square root of 461964976 is about 21493.3705127884. The cubic root of 461964976 is about 773.0418696189.

The spelling of 461964976 in words is "four hundred sixty-one million, nine hundred sixty-four thousand, nine hundred seventy-six".