456304642414 has 32 divisors (see below), whose sum is σ = 719911994112. Its totient is φ = 216630720000.

The previous prime is 456304642403. The next prime is 456304642427. The reversal of 456304642414 is 414246403654.

It is a Smith number, since the sum of its digits (43) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1366144 + ... + 1667020.

It is an arithmetic number, because the mean of its divisors is an integer number (22497249816).

Almost surely, 2^456304642414 is an apocalyptic number.

456304642414 is a deficient number, since it is larger than the sum of its proper divisors (263607351698).

456304642414 is a wasteful number, since it uses less digits than its factorization.

456304642414 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 301372.

The product of its (nonzero) digits is 1105920, while the sum is 43.

The spelling of 456304642414 in words is "four hundred fifty-six billion, three hundred four million, six hundred forty-two thousand, four hundred fourteen".