456159228 has 72 divisors (see below), whose sum is σ = 1250568144. Its totient is φ = 129024000.

The previous prime is 456159227. The next prime is 456159229. The reversal of 456159228 is 822951654.

It is an interprime number because it is at equal distance from previous prime (456159227) and next prime (456159229).

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

It is a self number, because there is not a number n which added to its sum of digits gives 456159228.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (456159227) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 55548 + ... + 63228.

It is an arithmetic number, because the mean of its divisors is an integer number (17369002).

Almost surely, 2^456159228 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 456159228, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (625284072).

456159228 is an abundant number, since it is smaller than the sum of its proper divisors (794408916).

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

456159228 is a wasteful number, since it uses less digits than its factorization.

456159228 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7803 (or 7794 counting only the distinct ones).

The product of its digits is 172800, while the sum is 42.

The square root of 456159228 is about 21357.8844457966. The cubic root of 456159228 is about 769.7898048850.

The spelling of 456159228 in words is "four hundred fifty-six million, one hundred fifty-nine thousand, two hundred twenty-eight".