265600400 has 90 divisors (see below), whose sum is σ = 691141590. Its totient is φ = 98042880.

The previous prime is 265600399. The next prime is 265600441. The reversal of 265600400 is 4006562.

It can be written as a sum of positive squares in 9 ways, for example, as 216207616 + 49392784 = 14704^2 + 7028^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 65636 + ... + 69564.

It is an arithmetic number, because the mean of its divisors is an integer number (7679351).

Almost surely, 2^265600400 is an apocalyptic number.

265600400 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 265600400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (345570795).

265600400 is an abundant number, since it is smaller than the sum of its proper divisors (425541190).

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

265600400 is a wasteful number, since it uses less digits than its factorization.

265600400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3973 (or 3949 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 23.

The square root of 265600400 is about 16297.2513019834. The cubic root of 265600400 is about 642.8005528081.

Adding to 265600400 its reverse (4006562), we get a palindrome (269606962).

The spelling of 265600400 in words is "two hundred sixty-five million, six hundred thousand, four hundred".