465088 has 42 divisors (see below), whose sum is σ = 1022604. Its totient is φ = 209664.

The previous prime is 465079. The next prime is 465089. The reversal of 465088 is 880564.

It is a zygodrome in base 2.

It is not an unprimeable number, because it can be changed into a prime (465089) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 10795 + ... + 10837.

465088 is a Friedman number, since it can be written as 5408*86, using all its digits and the basic arithmetic operations.

2⁴⁶⁵⁰⁸⁸ is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 465088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (511302).

465088 is an abundant number, since it is smaller than the sum of its proper divisors (557516).

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

465088 is a wasteful number, since it uses less digits than its factorization.

465088 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 81 (or 58 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 31.

The square root of 465088 is about 681.9736065274. The cubic root of 465088 is about 77.4779958342.

The spelling of 465088 in words is "four hundred sixty-five thousand, eighty-eight".