461301516 has 72 divisors (see below), whose sum is σ = 1267426160. Its totient is φ = 140621184.

The previous prime is 461301509. The next prime is 461301539. The reversal of 461301516 is 615103164.

It is a self number, because there is not a number n which added to its sum of digits gives 461301516.

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, 46491 + ... + 55533.

Almost surely, 2^461301516 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 461301516, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (633713080).

461301516 is an abundant number, since it is smaller than the sum of its proper divisors (806124644).

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

461301516 is a wasteful number, since it uses less digits than its factorization.

461301516 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9175 (or 9170 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The square root of 461301516 is about 21477.9309059323. The cubic root of 461301516 is about 772.6716192679.

The spelling of 461301516 in words is "four hundred sixty-one million, three hundred one thousand, five hundred sixteen".