456214431 has 8 divisors (see below), whose sum is σ = 644067504. Its totient is φ = 286252160.

The previous prime is 456214411. The next prime is 456214463. The reversal of 456214431 is 134412654.

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 456214431 - 2¹⁴ = 456198047 is a prime.

It is a super-2 number, since 2×456214431² = 416263214105307522, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (456214411) 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, 4472640 + ... + 4472741.

It is an arithmetic number, because the mean of its divisors is an integer number (80508438).

Almost surely, 2^456214431 is an apocalyptic number.

456214431 is a deficient number, since it is larger than the sum of its proper divisors (187853073).

456214431 is a wasteful number, since it uses less digits than its factorization.

456214431 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8945401.

The product of its digits is 11520, while the sum is 30.

The square root of 456214431 is about 21359.1767397529. The cubic root of 456214431 is about 769.8208561714.

The spelling of 456214431 in words is "four hundred fifty-six million, two hundred fourteen thousand, four hundred thirty-one".