263000400 has 240 divisors, whose sum is σ = 948022656. Its totient is φ = 61839360.

The previous prime is 263000399. The next prime is 263000417. The reversal of 263000400 is 4000362.

It is a tau number, because it is divible by the number of its divisors (240).

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 263000400.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 358434 + ... + 359166.

Almost surely, 2^263000400 is an apocalyptic number.

263000400 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 263000400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (474011328).

263000400 is an abundant number, since it is smaller than the sum of its proper divisors (685022256).

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

263000400 is a wasteful number, since it uses less digits than its factorization.

263000400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 790 (or 779 counting only the distinct ones).

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

The square root of 263000400 is about 16217.2870727505. The cubic root of 263000400 is about 640.6961825325.

Adding to 263000400 its reverse (4000362), we get a palindrome (267000762).

The spelling of 263000400 in words is "two hundred sixty-three million, four hundred", and thus it is an aban number.