461625660 has 72 divisors (see below), whose sum is σ = 1411025616. Its totient is φ = 122154240.

The previous prime is 461625649. The next prime is 461625721. The reversal of 461625660 is 66526164.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 13792 + ... + 33368.

It is an arithmetic number, because the mean of its divisors is an integer number (19597578).

Almost surely, 2^461625660 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 461625660, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (705512808).

461625660 is an abundant number, since it is smaller than the sum of its proper divisors (949399956).

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

461625660 is a wasteful number, since it uses less digits than its factorization.

461625660 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19723 (or 19718 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The square root of 461625660 is about 21485.4755590841. The cubic root of 461625660 is about 772.8525553227.

It can be divided in two parts, 4616 and 25660, that added together give a square (30276 = 174²).

The spelling of 461625660 in words is "four hundred sixty-one million, six hundred twenty-five thousand, six hundred sixty".