461934676 has 48 divisors (see below), whose sum is σ = 982098432. Its totient is φ = 185587200.

The previous prime is 461934673. The next prime is 461934679. The reversal of 461934676 is 676439164.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (461934673) and next prime (461934679).

It is a Smith number, since the sum of its digits (46) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (461934673) 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 15 ways as a sum of consecutive naturals, for example, 127206 + ... + 130786.

It is an arithmetic number, because the mean of its divisors is an integer number (20460384).

Almost surely, 2^461934676 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 461934676, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (491049216).

461934676 is an abundant number, since it is smaller than the sum of its proper divisors (520163756).

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

461934676 is a wasteful number, since it uses less digits than its factorization.

461934676 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3880 (or 3878 counting only the distinct ones).

The product of its digits is 653184, while the sum is 46.

The square root of 461934676 is about 21492.6656327222. The cubic root of 461934676 is about 773.0249681350.

The spelling of 461934676 in words is "four hundred sixty-one million, nine hundred thirty-four thousand, six hundred seventy-six".