263256400 has 240 divisors, whose sum is σ = 752808960. Its totient is φ = 87436800.

The previous prime is 263256397. The next prime is 263256451. The reversal of 263256400 is 4652362.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3929167 + ... + 3929233.

It is an arithmetic number, because the mean of its divisors is an integer number (3136704).

Almost surely, 2^263256400 is an apocalyptic number.

263256400 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 263256400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (376404480).

263256400 is an abundant number, since it is smaller than the sum of its proper divisors (489552560).

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

263256400 is a wasteful number, since it uses less digits than its factorization.

263256400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 162 (or 151 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 28.

The square root of 263256400 is about 16225.1779651257. The cubic root of 263256400 is about 640.9039959477.

The spelling of 263256400 in words is "two hundred sixty-three million, two hundred fifty-six thousand, four hundred".