268254900 has 216 divisors, whose sum is σ = 904863960. Its totient is φ = 66232320.

The previous prime is 268254893. The next prime is 268254907. The reversal of 268254900 is 9452862.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (268254893) and next prime (268254907).

It can be written as a sum of positive squares in 12 ways, for example, as 14107536 + 254147364 = 3756^2 + 15942^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (268254907) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1361602 + ... + 1361798.

It is an arithmetic number, because the mean of its divisors is an integer number (4189185).

Almost surely, 2^268254900 is an apocalyptic number.

268254900 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 268254900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (452431980).

268254900 is an abundant number, since it is smaller than the sum of its proper divisors (636609060).

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

268254900 is a wasteful number, since it uses less digits than its factorization.

268254900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 323 (or 313 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 268254900 is about 16378.4889412913. The cubic root of 268254900 is about 644.9349132088.

The spelling of 268254900 in words is "two hundred sixty-eight million, two hundred fifty-four thousand, nine hundred".