456784321 has 24 divisors (see below), whose sum is σ = 546981120. Its totient is φ = 380116800.

The previous prime is 456784319. The next prime is 456784337. The reversal of 456784321 is 123487654.

It is not a de Polignac number, because 456784321 - 2¹ = 456784319 is a prime.

It is a super-2 number, since 2×456784321² = 417303831822862082, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (456784381) 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 23 ways as a sum of consecutive naturals, for example, 544020 + ... + 544858.

It is an arithmetic number, because the mean of its divisors is an integer number (22790880).

Almost surely, 2^456784321 is an apocalyptic number.

456784321 is a gapful number since it is divisible by the number (41) formed by its first and last digit.

It is an amenable number.

456784321 is a deficient number, since it is larger than the sum of its proper divisors (90196799).

456784321 is a wasteful number, since it uses less digits than its factorization.

456784321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1165 (or 1158 counting only the distinct ones).

The product of its digits is 161280, while the sum is 40.

The square root of 456784321 is about 21372.5132120675. The cubic root of 456784321 is about 770.1412688462.

It can be divided in two parts, 4567 and 84321, that added together give a palindrome (88888).

The spelling of 456784321 in words is "four hundred fifty-six million, seven hundred eighty-four thousand, three hundred twenty-one".