456222251 has 8 divisors (see below), whose sum is σ = 492174144. Its totient is φ = 421283200.

The previous prime is 456222203. The next prime is 456222269. The reversal of 456222251 is 152222654.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 456222251 - 2¹⁸ = 455960107 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (456222271) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 252275 + ... + 254076.

It is an arithmetic number, because the mean of its divisors is an integer number (61521768).

Almost surely, 2^456222251 is an apocalyptic number.

456222251 is a deficient number, since it is larger than the sum of its proper divisors (35951893).

456222251 is a wasteful number, since it uses less digits than its factorization.

456222251 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 506421.

The product of its digits is 9600, while the sum is 29.

The square root of 456222251 is about 21359.3597984584. The cubic root of 456222251 is about 769.8252546620.

The spelling of 456222251 in words is "four hundred fifty-six million, two hundred twenty-two thousand, two hundred fifty-one".