262965248 has 192 divisors, whose sum is σ = 693463680. Its totient is φ = 96731136.

The previous prime is 262965221. The next prime is 262965251. The reversal of 262965248 is 842569262.

262965248 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 262965199 and 262965208.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3168215 + ... + 3168297.

It is an arithmetic number, because the mean of its divisors is an integer number (3611790).

Almost surely, 2^262965248 is an apocalyptic number.

262965248 is a gapful number since it is divisible by the number (28) 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 262965248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (346731840).

262965248 is an abundant number, since it is smaller than the sum of its proper divisors (430498432).

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

262965248 is a wasteful number, since it uses less digits than its factorization.

262965248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 142 (or 122 counting only the distinct ones).

The product of its digits is 414720, while the sum is 44.

The square root of 262965248 is about 16216.2032547696. The cubic root of 262965248 is about 640.6676366245.

The spelling of 262965248 in words is "two hundred sixty-two million, nine hundred sixty-five thousand, two hundred forty-eight".