456041253 has 8 divisors (see below), whose sum is σ = 608171328. Its totient is φ = 303969344.

The previous prime is 456041233. The next prime is 456041281. The reversal of 456041253 is 352140654.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 456041253 - 2¹⁰ = 456040229 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 456041253.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (456041213) 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, 9376 + ... + 31622.

It is an arithmetic number, because the mean of its divisors is an integer number (76021416).

Almost surely, 2^456041253 is an apocalyptic number.

It is an amenable number.

456041253 is a deficient number, since it is larger than the sum of its proper divisors (152130075).

456041253 is a wasteful number, since it uses less digits than its factorization.

456041253 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29083.

The product of its (nonzero) digits is 14400, while the sum is 30.

The square root of 456041253 is about 21355.1224065796. The cubic root of 456041253 is about 769.7234364059.

The spelling of 456041253 in words is "four hundred fifty-six million, forty-one thousand, two hundred fifty-three".