456365616 has 160 divisors (see below), whose sum is σ = 1403481600. Its totient is φ = 127685376.

The previous prime is 456365603. The next prime is 456365621. The reversal of 456365616 is 616563654.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an alternating number because its digits alternate between even and odd.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 872331 + ... + 872853.

It is an arithmetic number, because the mean of its divisors is an integer number (8771760).

Almost surely, 2^456365616 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 456365616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (701740800).

456365616 is an abundant number, since it is smaller than the sum of its proper divisors (947115984).

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

456365616 is a wasteful number, since it uses less digits than its factorization.

456365616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 608 (or 588 counting only the distinct ones).

The product of its digits is 388800, while the sum is 42.

The square root of 456365616 is about 21362.7155577188. The cubic root of 456365616 is about 769.9058838136.

The spelling of 456365616 in words is "four hundred fifty-six million, three hundred sixty-five thousand, six hundred sixteen".