456066144 has 144 divisors (see below), whose sum is σ = 1346462208. Its totient is φ = 146313216.

The previous prime is 456066133. The next prime is 456066179. The reversal of 456066144 is 441660654.

456066144 is a `hidden beast` number, since 4 + 5 + 606 + 6 + 1 + 44 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

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 = 456066099 and 456066108.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1353144 + ... + 1353480.

It is an arithmetic number, because the mean of its divisors is an integer number (9350432).

Almost surely, 2^456066144 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 456066144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (673231104).

456066144 is an abundant number, since it is smaller than the sum of its proper divisors (890396064).

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

456066144 is a wasteful number, since it uses less digits than its factorization.

456066144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 517 (or 506 counting only the distinct ones).

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

The square root of 456066144 is about 21355.7051862026. The cubic root of 456066144 is about 769.7374401372.

The spelling of 456066144 in words is "four hundred fifty-six million, sixty-six thousand, one hundred forty-four".