263897200 has 90 divisors (see below), whose sum is σ = 726954216. Its totient is φ = 90184320.

The previous prime is 263897173. The next prime is 263897219. The reversal of 263897200 is 2798362.

263897200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 263897200.

It is a congruent number.

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, 859447 + ... + 859753.

Almost surely, 2^263897200 is an apocalyptic number.

263897200 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 263897200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (363477108).

263897200 is an abundant number, since it is smaller than the sum of its proper divisors (463057016).

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

263897200 is an equidigital number, since it uses as much as digits as its factorization.

263897200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 639 (or 321 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 37.

The square root of 263897200 is about 16244.9130499366. The cubic root of 263897200 is about 641.4235888938.

Multiplying 263897200 by its product of nonzero digits (36288), we get a square (9576301593600 = 3094560²).

The spelling of 263897200 in words is "two hundred sixty-three million, eight hundred ninety-seven thousand, two hundred".