263400 has 48 divisors (see below), whose sum is σ = 818400. Its totient is φ = 70080.

The previous prime is 263399. The next prime is 263401. The reversal of 263400 is 4362.

It is an interprime number because it is at equal distance from previous prime (263399) and next prime (263401).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 263400.

It is not an unprimeable number, because it can be changed into a prime (263401) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 381 + ... + 819.

It is an arithmetic number, because the mean of its divisors is an integer number (17050).

2²⁶³⁴⁰⁰ is an apocalyptic number.

263400 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 263400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (409200).

263400 is an abundant number, since it is smaller than the sum of its proper divisors (555000).

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

263400 is a wasteful number, since it uses less digits than its factorization.

263400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 458 (or 449 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 15.

The square root of 263400 is about 513.2250968143. The cubic root of 263400 is about 64.1020507309.

Adding to 263400 its reverse (4362), we get a palindrome (267762).

The spelling of 263400 in words is "two hundred sixty-three thousand, four hundred".