456749075 has 24 divisors (see below), whose sum is σ = 597394800. Its totient is φ = 345461760.

The previous prime is 456749063. The next prime is 456749087. The reversal of 456749075 is 570947654.

It is an interprime number because it is at equal distance from previous prime (456749063) and next prime (456749087).

It is not a de Polignac number, because 456749075 - 2¹⁴ = 456732691 is a prime.

It is a Smith number, since the sum of its digits (47) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 452171 + ... + 453179.

It is an arithmetic number, because the mean of its divisors is an integer number (24891450).

Almost surely, 2^456749075 is an apocalyptic number.

456749075 is a deficient number, since it is larger than the sum of its proper divisors (140645725).

456749075 is a wasteful number, since it uses less digits than its factorization.

456749075 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1991 (or 1986 counting only the distinct ones).

The product of its (nonzero) digits is 1058400, while the sum is 47.

The square root of 456749075 is about 21371.6886323940. The cubic root of 456749075 is about 770.1214600100.

The spelling of 456749075 in words is "four hundred fifty-six million, seven hundred forty-nine thousand, seventy-five".