456516346 has 16 divisors (see below), whose sum is σ = 804490848. Its totient is φ = 191545200.

The previous prime is 456516341. The next prime is 456516353. The reversal of 456516346 is 643615654.

It is a super-3 number, since 3×456516346³ (a number of 27 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 456516299 and 456516308.

It is not an unprimeable number, because it can be changed into a prime (456516341) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 797820 + ... + 798391.

It is an arithmetic number, because the mean of its divisors is an integer number (50280678).

Almost surely, 2^456516346 is an apocalyptic number.

456516346 is a deficient number, since it is larger than the sum of its proper divisors (347974502).

456516346 is a wasteful number, since it uses less digits than its factorization.

456516346 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1596237.

The product of its digits is 259200, while the sum is 40.

The square root of 456516346 is about 21366.2431419283. The cubic root of 456516346 is about 769.9906368682.

The spelling of 456516346 in words is "four hundred fifty-six million, five hundred sixteen thousand, three hundred forty-six".