265250400 has 144 divisors (see below), whose sum is σ = 874944000. Its totient is φ = 69788160.

The previous prime is 265250399. The next prime is 265250411. The reversal of 265250400 is 4052562.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 188901 + ... + 190299.

It is an arithmetic number, because the mean of its divisors is an integer number (6076000).

Almost surely, 2^265250400 is an apocalyptic number.

265250400 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 265250400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (437472000).

265250400 is an abundant number, since it is smaller than the sum of its proper divisors (609693600).

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

265250400 is a wasteful number, since it uses less digits than its factorization.

265250400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1501 (or 1488 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 24.

The square root of 265250400 is about 16286.5097550089. The cubic root of 265250400 is about 642.5180744561.

The spelling of 265250400 in words is "two hundred sixty-five million, two hundred fifty thousand, four hundred".