461692980 has 192 divisors, whose sum is σ = 1666990080. Its totient is φ = 103897728.

The previous prime is 461692969. The next prime is 461692981. The reversal of 461692980 is 89296164.

It is a happy number.

461692980 is a `hidden beast` number, since 4 + 616 + 9 + 29 + 8 + 0 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (461692981) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 252349 + ... + 254171.

It is an arithmetic number, because the mean of its divisors is an integer number (8682240).

Almost surely, 2^461692980 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 461692980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (833495040).

461692980 is an abundant number, since it is smaller than the sum of its proper divisors (1205297100).

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

461692980 is a wasteful number, since it uses less digits than its factorization.

461692980 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1915 (or 1907 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 45.

The square root of 461692980 is about 21487.0421417188. The cubic root of 461692980 is about 772.8901224899.

The spelling of 461692980 in words is "four hundred sixty-one million, six hundred ninety-two thousand, nine hundred eighty".