268439580 has 72 divisors (see below), whose sum is σ = 820201200. Its totient is φ = 71062272.

The previous prime is 268439579. The next prime is 268439593. The reversal of 268439580 is 85934862.

268439580 is a `hidden beast` number, since 2 + 68 + 4 + 3 + 9 + 580 = 666.

It is a super-2 number, since 2×268439580² = 144119616221152800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 19656 + ... + 30384.

Almost surely, 2^268439580 is an apocalyptic number.

268439580 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 268439580, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (410100600).

268439580 is an abundant number, since it is smaller than the sum of its proper divisors (551761620).

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

268439580 is a wasteful number, since it uses less digits than its factorization.

268439580 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10883 (or 10878 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 45.

The square root of 268439580 is about 16384.1258540088. The cubic root of 268439580 is about 645.0828810027.

The spelling of 268439580 in words is "two hundred sixty-eight million, four hundred thirty-nine thousand, five hundred eighty".