461216756 has 96 divisors (see below), whose sum is σ = 1093435392. Its totient is φ = 164384640.

The previous prime is 461216731. The next prime is 461216837. The reversal of 461216756 is 657612164.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 508055 + ... + 508961.

It is an arithmetic number, because the mean of its divisors is an integer number (11389952).

Almost surely, 2^461216756 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 461216756, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (546717696).

461216756 is an abundant number, since it is smaller than the sum of its proper divisors (632218636).

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

461216756 is a wasteful number, since it uses less digits than its factorization.

461216756 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1069 (or 1067 counting only the distinct ones).

The product of its digits is 60480, while the sum is 38.

The square root of 461216756 is about 21475.9576270768. The cubic root of 461216756 is about 772.6242925515.

The spelling of 461216756 in words is "four hundred sixty-one million, two hundred sixteen thousand, seven hundred fifty-six".