268450000 has 240 divisors, whose sum is σ = 813697920. Its totient is φ = 83520000.

The previous prime is 268449991. The next prime is 268450019. The reversal of 268450000 is 54862.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4549971 + ... + 4550029.

It is an arithmetic number, because the mean of its divisors is an integer number (3390408).

Almost surely, 2^268450000 is an apocalyptic number.

268450000 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 268450000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (406848960).

268450000 is an abundant number, since it is smaller than the sum of its proper divisors (545247920).

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

268450000 is an equidigital number, since it uses as much as digits as its factorization.

268450000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 112 (or 86 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 25.

The square root of 268450000 is about 16384.4438416444. The cubic root of 268450000 is about 645.0912276067.

The spelling of 268450000 in words is "two hundred sixty-eight million, four hundred fifty thousand".