465008688 has 160 divisors (see below), whose sum is σ = 1375120320. Its totient is φ = 152285184.

The previous prime is 465008681. The next prime is 465008689. The reversal of 465008688 is 886800564.

It is not an unprimeable number, because it can be changed into a prime (465008681) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3394156 + ... + 3394292.

It is an arithmetic number, because the mean of its divisors is an integer number (8594502).

Almost surely, 2^465008688 is an apocalyptic number.

465008688 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 465008688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (687560160).

465008688 is an abundant number, since it is smaller than the sum of its proper divisors (910111632).

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

465008688 is an equidigital number, since it uses as much as digits as its factorization.

465008688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 263 (or 239 counting only the distinct ones).

The product of its (nonzero) digits is 368640, while the sum is 45.

The square root of 465008688 is about 21564.0601000832. The cubic root of 465008688 is about 774.7359144614.

The spelling of 465008688 in words is "four hundred sixty-five million, eight thousand, six hundred eighty-eight".