268997400 has 288 divisors, whose sum is σ = 1062179040. Its totient is φ = 59719680.

The previous prime is 268997389. The next prime is 268997413. The reversal of 268997400 is 4799862.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 465912 + ... + 466488.

Almost surely, 2^268997400 is an apocalyptic number.

268997400 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 268997400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (531089520).

268997400 is an abundant number, since it is smaller than the sum of its proper divisors (793181640).

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

268997400 is a wasteful number, since it uses less digits than its factorization.

268997400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 643 (or 631 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 45.

The square root of 268997400 is about 16401.1402042663. The cubic root of 268997400 is about 645.5294013079.

The spelling of 268997400 in words is "two hundred sixty-eight million, nine hundred ninety-seven thousand, four hundred".