265268400 has 120 divisors (see below), whose sum is σ = 853368000. Its totient is φ = 70437120.

The previous prime is 265268389. The next prime is 265268417. The reversal of 265268400 is 4862562.

It is a tau number, because it is divible by the number of its divisors (120).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 531351 + ... + 531849.

It is an arithmetic number, because the mean of its divisors is an integer number (7111400).

Almost surely, 2^265268400 is an apocalyptic number.

265268400 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 265268400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (426684000).

265268400 is an abundant number, since it is smaller than the sum of its proper divisors (588099600).

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

265268400 is a wasteful number, since it uses less digits than its factorization.

265268400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 963 (or 952 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 33.

The square root of 265268400 is about 16287.0623502214. The cubic root of 265268400 is about 642.5326079733.

The spelling of 265268400 in words is "two hundred sixty-five million, two hundred sixty-eight thousand, four hundred".