456985158 has 64 divisors (see below), whose sum is σ = 1065996288. Its totient is φ = 127908000.

The previous prime is 456985153. The next prime is 456985163. The reversal of 456985158 is 851589654.

It is an interprime number because it is at equal distance from previous prime (456985153) and next prime (456985163).

It is a self number, because there is not a number n which added to its sum of digits gives 456985158.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (456985153) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 705991 + ... + 706637.

It is an arithmetic number, because the mean of its divisors is an integer number (16656192).

Almost surely, 2^456985158 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 456985158, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (532998144).

456985158 is an abundant number, since it is smaller than the sum of its proper divisors (609011130).

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

456985158 is a wasteful number, since it uses less digits than its factorization.

456985158 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 977.

The product of its digits is 1728000, while the sum is 51.

The square root of 456985158 is about 21377.2111838752. The cubic root of 456985158 is about 770.2541231276.

The spelling of 456985158 in words is "four hundred fifty-six million, nine hundred eighty-five thousand, one hundred fifty-eight".