268497504 has 288 divisors, whose sum is σ = 895999104. Its totient is φ = 78382080.

The previous prime is 268497503. The next prime is 268497517. The reversal of 268497504 is 405794862.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (288).

It is a self number, because there is not a number n which added to its sum of digits gives 268497504.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (268497503) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3678012 + ... + 3678084.

It is an arithmetic number, because the mean of its divisors is an integer number (3111108).

Almost surely, 2^268497504 is an apocalyptic number.

268497504 is a gapful number since it is divisible by the number (24) 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 268497504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (447999552).

268497504 is an abundant number, since it is smaller than the sum of its proper divisors (627501600).

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

268497504 is a wasteful number, since it uses less digits than its factorization.

268497504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 152 (or 132 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The square root of 268497504 is about 16385.8934452779. The cubic root of 268497504 is about 645.1292764132.

The spelling of 268497504 in words is "two hundred sixty-eight million, four hundred ninety-seven thousand, five hundred four".