461311520 has 24 divisors (see below), whose sum is σ = 1089848844. Its totient is φ = 184524544.

The previous prime is 461311489. The next prime is 461311547. The reversal of 461311520 is 25113164.

It can be written as a sum of positive squares in 2 ways, for example, as 437144464 + 24167056 = 20908^2 + 4916^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1441439 + ... + 1441758.

Almost surely, 2^461311520 is an apocalyptic number.

461311520 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

461311520 is an abundant number, since it is smaller than the sum of its proper divisors (628537324).

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

461311520 is a wasteful number, since it uses less digits than its factorization.

461311520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2883212 (or 2883204 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 23.

The square root of 461311520 is about 21478.1637948871. The cubic root of 461311520 is about 772.6772047333.

Adding to 461311520 its reverse (25113164), we get a palindrome (486424684).

The spelling of 461311520 in words is "four hundred sixty-one million, three hundred eleven thousand, five hundred twenty".