268547400 has 360 divisors, whose sum is σ = 1032687810. Its totient is φ = 64627200.

The previous prime is 268547393. The next prime is 268547407. The reversal of 268547400 is 4745862.

It is an interprime number because it is at equal distance from previous prime (268547393) and next prime (268547407).

It can be written as a sum of positive squares in 3 ways, for example, as 208918116 + 59629284 = 14454^2 + 7722^2 .

It is a tau number, because it is divible by the number of its divisors (360).

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

It is not an unprimeable number, because it can be changed into a prime (268547407) by changing a digit.

It is a polite number, since it can be written in 89 ways as a sum of consecutive naturals, for example, 1960132 + ... + 1960268.

Almost surely, 2^268547400 is an apocalyptic number.

268547400 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 268547400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (516343905).

268547400 is an abundant number, since it is smaller than the sum of its proper divisors (764140410).

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

268547400 is a wasteful number, since it uses less digits than its factorization.

268547400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 187 (or 158 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 36.

The square root of 268547400 is about 16387.4159036744. The cubic root of 268547400 is about 645.1692362839.

The spelling of 268547400 in words is "two hundred sixty-eight million, five hundred forty-seven thousand, four hundred".