264286240 has 48 divisors (see below), whose sum is σ = 628568640. Its totient is φ = 105004800.

The previous prime is 264286237. The next prime is 264286241. The reversal of 264286240 is 42682462.

It is a junction number, because it is equal to n+sod(n) for n = 264286196 and 264286205.

It is not an unprimeable number, because it can be changed into a prime (264286241) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 18691 + ... + 29629.

It is an arithmetic number, because the mean of its divisors is an integer number (13095180).

Almost surely, 2^264286240 is an apocalyptic number.

264286240 is a gapful number since it is divisible by the number (20) 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 264286240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (314284320).

264286240 is an abundant number, since it is smaller than the sum of its proper divisors (364282400).

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

264286240 is a wasteful number, since it uses less digits than its factorization.

264286240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11105 (or 11097 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 34.

The square root of 264286240 is about 16256.8828500423. The cubic root of 264286240 is about 641.7386319090.

The spelling of 264286240 in words is "two hundred sixty-four million, two hundred eighty-six thousand, two hundred forty".