456788375 has 32 divisors (see below), whose sum is σ = 584311104. Its totient is φ = 356428800.

The previous prime is 456788363. The next prime is 456788377. The reversal of 456788375 is 573887654.

It is not a de Polignac number, because 456788375 - 2⁴ = 456788359 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (456788377) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1030904 + ... + 1031346.

It is an arithmetic number, because the mean of its divisors is an integer number (18259722).

Almost surely, 2^456788375 is an apocalyptic number.

456788375 is a deficient number, since it is larger than the sum of its proper divisors (127522729).

456788375 is a wasteful number, since it uses less digits than its factorization.

456788375 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 644 (or 634 counting only the distinct ones).

The product of its digits is 5644800, while the sum is 53.

The square root of 456788375 is about 21372.6080533004. The cubic root of 456788375 is about 770.1435471961.

The spelling of 456788375 in words is "four hundred fifty-six million, seven hundred eighty-eight thousand, three hundred seventy-five".