456041401 has 16 divisors (see below), whose sum is σ = 513152640. Its totient is φ = 403159680.

The previous prime is 456041393. The next prime is 456041419. The reversal of 456041401 is 104140654.

It is a cyclic number.

It is not a de Polignac number, because 456041401 - 2³ = 456041393 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (456041491) 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, 5191 + ... + 30643.

It is an arithmetic number, because the mean of its divisors is an integer number (32072040).

Almost surely, 2^456041401 is an apocalyptic number.

456041401 is a gapful number since it is divisible by the number (41) formed by its first and last digit.

It is an amenable number.

456041401 is a deficient number, since it is larger than the sum of its proper divisors (57111239).

456041401 is a wasteful number, since it uses less digits than its factorization.

456041401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25536.

The product of its (nonzero) digits is 1920, while the sum is 25.

The square root of 456041401 is about 21355.1258717901. The cubic root of 456041401 is about 769.7235196726.

The spelling of 456041401 in words is "four hundred fifty-six million, forty-one thousand, four hundred one".