465825888 has 288 divisors, whose sum is σ = 1556755200. Its totient is φ = 130636800.

The previous prime is 465825881. The next prime is 465825901. The reversal of 465825888 is 888528564.

It is a happy number.

465825888 is a `hidden beast` number, since 4 + 6 + 58 + 2 + 588 + 8 = 666.

It is a Cunningham number, because it is equal to 21583²-1.

It is a tau number, because it is divible by the number of its divisors (288).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (465825881) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4273578 + ... + 4273686.

It is an arithmetic number, because the mean of its divisors is an integer number (5405400).

Almost surely, 2^465825888 is an apocalyptic number.

465825888 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 465825888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (778377600).

465825888 is an abundant number, since it is smaller than the sum of its proper divisors (1090929312).

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

465825888 is a wasteful number, since it uses less digits than its factorization.

465825888 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 226 (or 215 counting only the distinct ones).

The product of its digits is 4915200, while the sum is 54.

The square root of 465825888 is about 21582.9999768336. Note that the first 4 decimals coincide. The cubic root of 465825888 is about 775.1894856827.

The spelling of 465825888 in words is "four hundred sixty-five million, eight hundred twenty-five thousand, eight hundred eighty-eight".