465075 has 48 divisors (see below), whose sum is σ = 937440. Its totient is φ = 224640.

The previous prime is 465071. The next prime is 465077. The reversal of 465075 is 570564.

465075 is a `hidden beast` number, since 4 + 650 + 7 + 5 = 666.

It is not a de Polignac number, because 465075 - 2² = 465071 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

465075 is a lucky number.

It is not an unprimeable number, because it can be changed into a prime (465071) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8749 + ... + 8801.

It is an arithmetic number, because the mean of its divisors is an integer number (19530).

2⁴⁶⁵⁰⁷⁵ is an apocalyptic number.

465075 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

465075 is a primitive abundant number, since it is smaller than the sum of its proper divisors, none of which is abundant.

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

465075 is a wasteful number, since it uses less digits than its factorization.

465075 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 85 (or 74 counting only the distinct ones).

The product of its (nonzero) digits is 4200, while the sum is 27.

The square root of 465075 is about 681.9640753002. The cubic root of 465075 is about 77.4772739470.

The spelling of 465075 in words is "four hundred sixty-five thousand, seventy-five".