268404560 has 20 divisors (see below), whose sum is σ = 624040788. Its totient is φ = 107361792.

The previous prime is 268404553. The next prime is 268404569. The reversal of 268404560 is 65404862.

It can be written as a sum of positive squares in 2 ways, for example, as 38093584 + 230310976 = 6172^2 + 15176^2 .

It is a tau number, because it is divible by the number of its divisors (20).

It is a hoax number, since the sum of its digits (35) coincides with the sum of the digits of its distinct prime factors.

It is a nialpdrome in base 16.

It is a self number, because there is not a number n which added to its sum of digits gives 268404560.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (268404569) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1677449 + ... + 1677608.

Almost surely, 2^268404560 is an apocalyptic number.

268404560 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

268404560 is an abundant number, since it is smaller than the sum of its proper divisors (355636228).

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

268404560 is a wasteful number, since it uses less digits than its factorization.

268404560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3355070 (or 3355064 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 35.

The square root of 268404560 is about 16383.0571017744. The cubic root of 268404560 is about 645.0548277812.

The spelling of 268404560 in words is "two hundred sixty-eight million, four hundred four thousand, five hundred sixty".