465825880 has 128 divisors (see below), whose sum is σ = 1173553920. Its totient is φ = 165312000.

The previous prime is 465825847. The next prime is 465825881. The reversal of 465825880 is 88528564.

It is a self number, because there is not a number n which added to its sum of digits gives 465825880.

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 31 ways as a sum of consecutive naturals, for example, 1855755 + ... + 1856005.

It is an arithmetic number, because the mean of its divisors is an integer number (9168390).

Almost surely, 2^465825880 is an apocalyptic number.

465825880 is a gapful number since it is divisible by the number (40) 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 465825880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (586776960).

465825880 is an abundant number, since it is smaller than the sum of its proper divisors (707728040).

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

465825880 is a wasteful number, since it uses less digits than its factorization.

465825880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 401 (or 397 counting only the distinct ones).

The product of its (nonzero) digits is 614400, while the sum is 46.

The square root of 465825880 is about 21582.9997915026. Note that the first 3 decimals coincide. The cubic root of 465825880 is about 775.1894812450.

The spelling of 465825880 in words is "four hundred sixty-five million, eight hundred twenty-five thousand, eight hundred eighty".