456051222 has 96 divisors (see below), whose sum is σ = 1166780160. Its totient is φ = 132153120.

The previous prime is 456051209. The next prime is 456051229. The reversal of 456051222 is 222150654.

456051222 is a `hidden beast` number, since 45 + 605 + 12 + 2 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (456051229) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 121104 + ... + 124812.

It is an arithmetic number, because the mean of its divisors is an integer number (12153960).

Almost surely, 2^456051222 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 456051222, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (583390080).

456051222 is an abundant number, since it is smaller than the sum of its proper divisors (710728938).

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

456051222 is a wasteful number, since it uses less digits than its factorization.

456051222 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3760 (or 3748 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 27.

The square root of 456051222 is about 21355.3558153452. The cubic root of 456051222 is about 769.7290450484.

The spelling of 456051222 in words is "four hundred fifty-six million, fifty-one thousand, two hundred twenty-two".