461567520 has 72 divisors (see below), whose sum is σ = 1575104076. Its totient is φ = 123084288.

The previous prime is 461567501. The next prime is 461567531. The reversal of 461567520 is 25765164.

It is a happy number.

461567520 is a `hidden beast` number, since 46 + 1 + 567 + 52 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 437479056 + 24088464 = 20916^2 + 4908^2 .

It is a tau number, because it is divible by the number of its divisors (72).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 158827 + ... + 161706.

Almost surely, 2^461567520 is an apocalyptic number.

461567520 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

461567520 is an abundant number, since it is smaller than the sum of its proper divisors (1113536556).

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

461567520 is a wasteful number, since it uses less digits than its factorization.

461567520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 320554 (or 320543 counting only the distinct ones).

The product of its (nonzero) digits is 50400, while the sum is 36.

The square root of 461567520 is about 21484.1225094254. The cubic root of 461567520 is about 772.8201080117.

The spelling of 461567520 in words is "four hundred sixty-one million, five hundred sixty-seven thousand, five hundred twenty".