268446440 has 64 divisors (see below), whose sum is σ = 638064000. Its totient is φ = 101364480.

The previous prime is 268446427. The next prime is 268446457. The reversal of 268446440 is 44644862.

It is a super-2 number, since 2×268446440² = 144126982297347200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (38).

It is a junction number, because it is equal to n+sod(n) for n = 268446394 and 268446403.

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, 319541 + ... + 320379.

It is an arithmetic number, because the mean of its divisors is an integer number (9969750).

Almost surely, 2^268446440 is an apocalyptic number.

268446440 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 268446440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (319032000).

268446440 is an abundant number, since it is smaller than the sum of its proper divisors (369617560).

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

268446440 is a wasteful number, since it uses less digits than its factorization.

268446440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1290 (or 1286 counting only the distinct ones).

The product of its (nonzero) digits is 147456, while the sum is 38.

The square root of 268446440 is about 16384.3352016492. The cubic root of 268446440 is about 645.0883760081.

The spelling of 268446440 in words is "two hundred sixty-eight million, four hundred forty-six thousand, four hundred forty".