461562624 has 90 divisors (see below), whose sum is σ = 1376358060. Its totient is φ = 153847296.

The previous prime is 461562623. The next prime is 461562691. The reversal of 461562624 is 426265164.

461562624 is a `hidden beast` number, since 4 + 6 + 1 + 5 + 626 + 24 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (461562623) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 9607 + ... + 31865.

Almost surely, 2^461562624 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 461562624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (688179030).

461562624 is an abundant number, since it is smaller than the sum of its proper divisors (914795436).

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

461562624 is an equidigital number, since it uses as much as digits as its factorization.

461562624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22287 (or 22264 counting only the distinct ones).

The product of its digits is 69120, while the sum is 36.

The square root of 461562624 is about 21484.0085645114. The cubic root of 461562624 is about 772.8173754822.

The spelling of 461562624 in words is "four hundred sixty-one million, five hundred sixty-two thousand, six hundred twenty-four".