456869322 has 160 divisors (see below), whose sum is σ = 1334817792. Its totient is φ = 113342976.

The previous prime is 456869311. The next prime is 456869323. The reversal of 456869322 is 223968654.

456869322 is a `hidden beast` number, since 4 + 568 + 69 + 3 + 22 = 666.

It is a super-3 number, since 3×456869322³ (a number of 27 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (456869323) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 249703 + ... + 251525.

Almost surely, 2^456869322 is an apocalyptic number.

456869322 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 456869322, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (667408896).

456869322 is an abundant number, since it is smaller than the sum of its proper divisors (877948470).

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

456869322 is a wasteful number, since it uses less digits than its factorization.

456869322 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1874 (or 1865 counting only the distinct ones).

The product of its digits is 622080, while the sum is 45.

The square root of 456869322 is about 21374.5016784018. The cubic root of 456869322 is about 770.1890366255.

The spelling of 456869322 in words is "four hundred fifty-six million, eight hundred sixty-nine thousand, three hundred twenty-two".