456784097 has 16 divisors (see below), whose sum is σ = 572406912. Its totient is φ = 354117120.

The previous prime is 456784093. The next prime is 456784099. The reversal of 456784097 is 790487654.

It is not a de Polignac number, because 456784097 - 2² = 456784093 is a prime.

It is a super-2 number, since 2×456784097² = 417303422544210818, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (456784093) 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 15 ways as a sum of consecutive naturals, for example, 113 + ... + 30225.

It is an arithmetic number, because the mean of its divisors is an integer number (35775432).

Almost surely, 2^456784097 is an apocalyptic number.

It is an amenable number.

456784097 is a deficient number, since it is larger than the sum of its proper divisors (115622815).

456784097 is a wasteful number, since it uses less digits than its factorization.

456784097 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30328.

The product of its (nonzero) digits is 1693440, while the sum is 50.

The square root of 456784097 is about 21372.5079716911. The cubic root of 456784097 is about 770.1411429577.

The spelling of 456784097 in words is "four hundred fifty-six million, seven hundred eighty-four thousand, ninety-seven".