456254714 has 16 divisors (see below), whose sum is σ = 743642880. Its totient is φ = 209148480.

The previous prime is 456254713. The next prime is 456254731. The reversal of 456254714 is 417452654.

It is a happy number.

It is a super-3 number, since 3×456254714³ (a number of 27 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (38).

It is not an unprimeable number, because it can be changed into a prime (456254713) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 192479 + ... + 194834.

It is an arithmetic number, because the mean of its divisors is an integer number (46477680).

Almost surely, 2^456254714 is an apocalyptic number.

456254714 is a deficient number, since it is larger than the sum of its proper divisors (287388166).

456254714 is a wasteful number, since it uses less digits than its factorization.

456254714 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 387365.

The product of its digits is 134400, while the sum is 38.

The square root of 456254714 is about 21360.1197094024. The cubic root of 456254714 is about 769.8435134854.

The spelling of 456254714 in words is "four hundred fifty-six million, two hundred fifty-four thousand, seven hundred fourteen".