465525216 has 72 divisors (see below), whose sum is σ = 1425682440. Its totient is φ = 143237376.

The previous prime is 465525209. The next prime is 465525257. The reversal of 465525216 is 612525564.

465525216 is a `hidden beast` number, since 46 + 552 + 52 + 16 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 58426 + ... + 65913.

It is an arithmetic number, because the mean of its divisors is an integer number (19801145).

Almost surely, 2^465525216 is an apocalyptic number.

It is an amenable number.

465525216 is an abundant number, since it is smaller than the sum of its proper divisors (960157224).

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

465525216 is a wasteful number, since it uses less digits than its factorization.

465525216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 124368 (or 124357 counting only the distinct ones).

The product of its digits is 72000, while the sum is 36.

The square root of 465525216 is about 21576.0333703858. The cubic root of 465525216 is about 775.0226651713.

The spelling of 465525216 in words is "four hundred sixty-five million, five hundred twenty-five thousand, two hundred sixteen".