456369121 has 12 divisors (see below), whose sum is σ = 502287420. Its totient is φ = 414348480.

The previous prime is 456369101. The next prime is 456369139. The reversal of 456369121 is 121963654.

It can be written as a sum of positive squares in 6 ways, for example, as 57168721 + 399200400 = 7561^2 + 19980^2 .

It is not a de Polignac number, because 456369121 - 2⁷ = 456368993 is a prime.

It is not an unprimeable number, because it can be changed into a prime (456369101) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 11826 + ... + 32443.

It is an arithmetic number, because the mean of its divisors is an integer number (41857285).

Almost surely, 2^456369121 is an apocalyptic number.

It is an amenable number.

456369121 is a deficient number, since it is larger than the sum of its proper divisors (45918299).

456369121 is a wasteful number, since it uses less digits than its factorization.

456369121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 44356 (or 44343 counting only the distinct ones).

The product of its digits is 38880, while the sum is 37.

The square root of 456369121 is about 21362.7975930120. The cubic root of 456369121 is about 769.9078548306.

It can be divided in two parts, 456369 and 121, that added together give a triangular number (456490 = T₉₅₅).

The spelling of 456369121 in words is "four hundred fifty-six million, three hundred sixty-nine thousand, one hundred twenty-one".