465516 has 36 divisors (see below), whose sum is σ = 1200472. Its totient is φ = 152064.

The previous prime is 465469. The next prime is 465523. The reversal of 465516 is 615564.

465516 = 28³ + 29³ + ... + 39³.

It is a happy number.

465516 is a `hidden beast` number, since 4 + 655 + 1 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (36).

It is a self number, because there is not a number n which added to its sum of digits gives 465516.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 465516.

It is an unprimeable number.

465516 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2316 + ... + 2508.

2⁴⁶⁵⁵¹⁶ 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 465516, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (600236).

465516 is an abundant number, since it is smaller than the sum of its proper divisors (734956).

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

465516 is a wasteful number, since it uses less digits than its factorization.

465516 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 270 (or 265 counting only the distinct ones).

The product of its digits is 3600, while the sum is 27.

The square root of 465516 is about 682.2873295028. The cubic root of 465516 is about 77.5017550765.

The spelling of 465516 in words is "four hundred sixty-five thousand, five hundred sixteen".