461686680 has 384 divisors, whose sum is σ = 1957737600. Its totient is φ = 91570176.

The previous prime is 461686679. The next prime is 461686727. The reversal of 461686680 is 86686164.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 556506 + ... + 557334.

It is an arithmetic number, because the mean of its divisors is an integer number (5098275).

Almost surely, 2^461686680 is an apocalyptic number.

461686680 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 461686680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (978868800).

461686680 is an abundant number, since it is smaller than the sum of its proper divisors (1496050920).

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

461686680 is a wasteful number, since it uses less digits than its factorization.

461686680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 883 (or 876 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 45.

The square root of 461686680 is about 21486.8955412363. The cubic root of 461686680 is about 772.8866070008.

The spelling of 461686680 in words is "four hundred sixty-one million, six hundred eighty-six thousand, six hundred eighty".