263088400 has 45 divisors (see below), whose sum is σ = 632850213. Its totient is φ = 105105600.

The previous prime is 263088341. The next prime is 263088401. The reversal of 263088400 is 4880362.

It is a happy number.

The square root of 263088400 is 16220.

It is a perfect power (a square), and thus also a powerful number.

263088400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 94711824 + 168376576 = 9732^2 + 12976^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (263088401) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 323995 + ... + 324805.

Almost surely, 2^263088400 is an apocalyptic number.

263088400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

263088400 is the 16220-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 263088400

263088400 is an abundant number, since it is smaller than the sum of its proper divisors (369761813).

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

263088400 is an frugal number, since it uses more digits than its factorization.

263088400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1640 (or 818 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 31.

The cubic root of 263088400 is about 640.7676335985.

Multiplying 263088400 by its product of nonzero digits (9216), we get a square (2424622694400 = 1557120²).

The spelling of 263088400 in words is "two hundred sixty-three million, eighty-eight thousand, four hundred".