456040361 has 16 divisors (see below), whose sum is σ = 528278400. Its totient is φ = 385596288.

The previous prime is 456040339. The next prime is 456040367. The reversal of 456040361 is 163040654.

It is a happy number.

It is not a de Polignac number, because 456040361 - 2²⁶ = 388931497 is a prime.

It is a super-2 number, since 2×456040361² = 415945621722020642, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (456040367) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 516026 + ... + 516908.

It is an arithmetic number, because the mean of its divisors is an integer number (33017400).

Almost surely, 2^456040361 is an apocalyptic number.

It is an amenable number.

456040361 is a deficient number, since it is larger than the sum of its proper divisors (72238039).

456040361 is an equidigital number, since it uses as much as digits as its factorization.

456040361 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1808.

The product of its (nonzero) digits is 8640, while the sum is 29.

The square root of 456040361 is about 21355.1015216505. The cubic root of 456040361 is about 769.7229345553.

It can be divided in two parts, 45 and 6040361, that added together give a palindrome (6040406).

The spelling of 456040361 in words is "four hundred fifty-six million, forty thousand, three hundred sixty-one".