456850044 has 240 divisors, whose sum is σ = 1485570240. Its totient is φ = 119854080.

The previous prime is 456850001. The next prime is 456850067. The reversal of 456850044 is 440058654.

456850044 is a `hidden beast` number, since 4 + 568 + 50 + 0 + 44 = 666.

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 = 456849990 and 456850008.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 11142664 + ... + 11142704.

It is an arithmetic number, because the mean of its divisors is an integer number (6189876).

Almost surely, 2^456850044 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 456850044, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (742785120).

456850044 is an abundant number, since it is smaller than the sum of its proper divisors (1028720196).

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

456850044 is a wasteful number, since it uses less digits than its factorization.

456850044 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 115 (or 70 counting only the distinct ones).

The product of its (nonzero) digits is 76800, while the sum is 36.

The square root of 456850044 is about 21374.0507157628. The cubic root of 456850044 is about 770.1782035401.

The spelling of 456850044 in words is "four hundred fifty-six million, eight hundred fifty thousand, forty-four".