456124644 has 72 divisors (see below), whose sum is σ = 1206387000. Its totient is φ = 145119744.

The previous prime is 456124619. The next prime is 456124667. The reversal of 456124644 is 446421654.

456124644 is a `hidden beast` number, since 4 + 5 + 6 + 1 + 2 + 4 + 644 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 140707044 + 315417600 = 11862^2 + 17760^2 .

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

It is a junction number, because it is equal to n+sod(n) for n = 456124599 and 456124608.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 90462 + ... + 95370.

It is an arithmetic number, because the mean of its divisors is an integer number (16755375).

Almost surely, 2^456124644 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 456124644, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (603193500).

456124644 is an abundant number, since it is smaller than the sum of its proper divisors (750262356).

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

456124644 is a wasteful number, since it uses less digits than its factorization.

456124644 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5037 (or 5032 counting only the distinct ones).

The product of its digits is 92160, while the sum is 36.

The square root of 456124644 is about 21357.0747997004. The cubic root of 456124644 is about 769.7703503599.

The spelling of 456124644 in words is "four hundred fifty-six million, one hundred twenty-four thousand, six hundred forty-four".