268464300 has 144 divisors (see below), whose sum is σ = 880776960. Its totient is φ = 62588160.

The previous prime is 268464299. The next prime is 268464307. The reversal of 268464300 is 3464862.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (268464307) 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, 72289 + ... + 75911.

Almost surely, 2^268464300 is an apocalyptic number.

268464300 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 268464300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (440388480).

268464300 is an abundant number, since it is smaller than the sum of its proper divisors (612312660).

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

268464300 is a wasteful number, since it uses less digits than its factorization.

268464300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3672 (or 3665 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 33.

The square root of 268464300 is about 16384.8802253785. The cubic root of 268464300 is about 645.1026818077.

The spelling of 268464300 in words is "two hundred sixty-eight million, four hundred sixty-four thousand, three hundred".