465252588 has 72 divisors (see below), whose sum is σ = 1218462336. Its totient is φ = 149529600.

The previous prime is 465252581. The next prime is 465252589. The reversal of 465252588 is 885252564.

It is a happy number.

465252588 is a `hidden beast` number, since 4 + 65 + 2 + 5 + 2 + 588 = 666.

It is not an unprimeable number, because it can be changed into a prime (465252581) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 393358 + ... + 394538.

It is an arithmetic number, because the mean of its divisors is an integer number (16923088).

Almost surely, 2^465252588 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 465252588, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (609231168).

465252588 is an abundant number, since it is smaller than the sum of its proper divisors (753209748).

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

465252588 is a wasteful number, since it uses less digits than its factorization.

465252588 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1575 (or 1570 counting only the distinct ones).

The product of its digits is 768000, while the sum is 45.

The square root of 465252588 is about 21569.7146017280. The cubic root of 465252588 is about 774.8713420835.

The spelling of 465252588 in words is "four hundred sixty-five million, two hundred fifty-two thousand, five hundred eighty-eight".