461613696 has 64 divisors (see below), whose sum is σ = 1252298880. Its totient is φ = 150591488.

The previous prime is 461613673. The next prime is 461613697. The reversal of 461613696 is 696316164.

It is a tau number, because it is divible by the number of its divisors (64).

It is a hoax number, since the sum of its digits (42) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (461613697) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5260 + ... + 30836.

It is an arithmetic number, because the mean of its divisors is an integer number (19567170).

Almost surely, 2^461613696 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 461613696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (626149440).

461613696 is an abundant number, since it is smaller than the sum of its proper divisors (790685184).

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

461613696 is a wasteful number, since it uses less digits than its factorization.

461613696 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25641 (or 25629 counting only the distinct ones).

The product of its digits is 139968, while the sum is 42.

The square root of 461613696 is about 21485.1971366334. The cubic root of 461613696 is about 772.8458785652.

The spelling of 461613696 in words is "four hundred sixty-one million, six hundred thirteen thousand, six hundred ninety-six".