465286848 has 112 divisors (see below), whose sum is σ = 1336828416. Its totient is φ = 141972480.

The previous prime is 465286847. The next prime is 465286897. The reversal of 465286848 is 848682564.

It is a self number, because there is not a number n which added to its sum of digits gives 465286848.

It is not an unprimeable number, because it can be changed into a prime (465286847) 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 15 ways as a sum of consecutive naturals, for example, 326265 + ... + 327687.

It is an arithmetic number, because the mean of its divisors is an integer number (11935968).

Almost surely, 2^465286848 is an apocalyptic number.

465286848 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 465286848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (668414208).

465286848 is an abundant number, since it is smaller than the sum of its proper divisors (871541568).

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

465286848 is a wasteful number, since it uses less digits than its factorization.

465286848 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1582 (or 1572 counting only the distinct ones).

The product of its digits is 2949120, while the sum is 51.

The square root of 465286848 is about 21570.5087561698. The cubic root of 465286848 is about 774.8903614587.

The spelling of 465286848 in words is "four hundred sixty-five million, two hundred eighty-six thousand, eight hundred forty-eight".