456834375 has 72 divisors (see below), whose sum is σ = 849008160. Its totient is φ = 236520000.

The previous prime is 456834337. The next prime is 456834379. The reversal of 456834375 is 573438654.

It is not a de Polignac number, because 456834375 - 2⁹ = 456833863 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a self number, because there is not a number n which added to its sum of digits gives 456834375.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (456834379) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1040406 + ... + 1040844.

It is an arithmetic number, because the mean of its divisors is an integer number (11791780).

Almost surely, 2^456834375 is an apocalyptic number.

456834375 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

456834375 is a deficient number, since it is larger than the sum of its proper divisors (392173785).

456834375 is an equidigital number, since it uses as much as digits as its factorization.

456834375 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 507 (or 484 counting only the distinct ones).

The product of its digits is 1209600, while the sum is 45.

The square root of 456834375 is about 21373.6841700255. The cubic root of 456834375 is about 770.1693982728.

It can be divided in two parts, 45 and 6834375, that multiplied together give a cube (307546875 = 675³).

The spelling of 456834375 in words is "four hundred fifty-six million, eight hundred thirty-four thousand, three hundred seventy-five".