265730400 has 432 divisors, whose sum is σ = 1074868704. Its totient is φ = 61194240.

The previous prime is 265730299. The next prime is 265730429. The reversal of 265730400 is 4037562.

It is a happy number.

265730400 is a `hidden beast` number, since 2 + 657 + 3 + 0 + 4 + 0 + 0 = 666.

It is a super-2 number, since 2×265730400² = 141225290968320000, which contains 22 as substring.

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, 1591117 + ... + 1591283.

It is an arithmetic number, because the mean of its divisors is an integer number (2488122).

Almost surely, 2^265730400 is an apocalyptic number.

265730400 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 265730400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (537434352).

265730400 is an abundant number, since it is smaller than the sum of its proper divisors (809138304).

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

265730400 is a wasteful number, since it uses less digits than its factorization.

265730400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 223 (or 207 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 27.

The square root of 265730400 is about 16301.2392166976. The cubic root of 265730400 is about 642.9054101325.

Adding to 265730400 its reverse (4037562), we get a palindrome (269767962).

The spelling of 265730400 in words is "two hundred sixty-five million, seven hundred thirty thousand, four hundred".