461916520 has 64 divisors (see below), whose sum is σ = 1185120720. Its totient is φ = 160518144.

The previous prime is 461916509. The next prime is 461916527. The reversal of 461916520 is 25619164.

It can be written as a sum of positive squares in 8 ways, for example, as 135536164 + 326380356 = 11642^2 + 18066^2 .

It is a Harshad number since it is a multiple of its sum of digits (34).

It is not an unprimeable number, because it can be changed into a prime (461916527) 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, 17287 + ... + 34966.

Almost surely, 2^461916520 is an apocalyptic number.

461916520 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

461916520 is an abundant number, since it is smaller than the sum of its proper divisors (723204200).

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

461916520 is a wasteful number, since it uses less digits than its factorization.

461916520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 52294 (or 52290 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 34.

The square root of 461916520 is about 21492.2432519270. The cubic root of 461916520 is about 773.0148402779.

The spelling of 461916520 in words is "four hundred sixty-one million, nine hundred sixteen thousand, five hundred twenty".