465073875 has 96 divisors (see below), whose sum is σ = 972466560. Its totient is φ = 209433600.

The previous prime is 465073871. The next prime is 465073891. The reversal of 465073875 is 578370564.

465073875 is a `hidden beast` number, since 46 + 507 + 38 + 75 = 666.

It is not a de Polignac number, because 465073875 - 2² = 465073871 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 465073875.

It is not an unprimeable number, because it can be changed into a prime (465073871) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 574471 + ... + 575279.

It is an arithmetic number, because the mean of its divisors is an integer number (10129860).

Almost surely, 2^465073875 is an apocalyptic number.

465073875 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

465073875 is an abundant number, since it is smaller than the sum of its proper divisors (507392685).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

465073875 is a wasteful number, since it uses less digits than its factorization.

465073875 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 910 (or 897 counting only the distinct ones).

The product of its (nonzero) digits is 705600, while the sum is 45.

The square root of 465073875 is about 21565.5715203655. The cubic root of 465073875 is about 774.7721147531.

The spelling of 465073875 in words is "four hundred sixty-five million, seventy-three thousand, eight hundred seventy-five".