456661422 has 64 divisors (see below), whose sum is σ = 1162022400. Its totient is φ = 130222080.

The previous prime is 456661417. The next prime is 456661441. The reversal of 456661422 is 224166654.

It is a congruent number.

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, 289897 + ... + 291467.

It is an arithmetic number, because the mean of its divisors is an integer number (18156600).

Almost surely, 2^456661422 is an apocalyptic number.

456661422 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 456661422, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (581011200).

456661422 is an abundant number, since it is smaller than the sum of its proper divisors (705360978).

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

456661422 is a wasteful number, since it uses less digits than its factorization.

456661422 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2358 (or 2352 counting only the distinct ones).

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

The square root of 456661422 is about 21369.6378537401. The cubic root of 456661422 is about 770.0721931524.

The spelling of 456661422 in words is "four hundred fifty-six million, six hundred sixty-one thousand, four hundred twenty-two".