461681688 has 64 divisors (see below), whose sum is σ = 1258790400. Its totient is φ = 140250240.

The previous prime is 461681683. The next prime is 461681707. The reversal of 461681688 is 886186164.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (461681681) 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, 15283 + ... + 34013.

It is an arithmetic number, because the mean of its divisors is an integer number (19668600).

Almost surely, 2^461681688 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 461681688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (629395200).

461681688 is an abundant number, since it is smaller than the sum of its proper divisors (797108712).

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

461681688 is a wasteful number, since it uses less digits than its factorization.

461681688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18832 (or 18828 counting only the distinct ones).

The product of its digits is 442368, while the sum is 48.

The square root of 461681688 is about 21486.7793770960. The cubic root of 461681688 is about 772.8838213715.

The spelling of 461681688 in words is "four hundred sixty-one million, six hundred eighty-one thousand, six hundred eighty-eight".