263012400 has 480 divisors, whose sum is σ = 1107072000. Its totient is φ = 59270400.

The previous prime is 263012377. The next prime is 263012411. The reversal of 263012400 is 4210362.

It is a happy number.

263012400 is a `hidden beast` number, since 263 + 0 + 1 + 2 + 400 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3704365 + ... + 3704435.

It is an arithmetic number, because the mean of its divisors is an integer number (2306400).

Almost surely, 2^263012400 is an apocalyptic number.

263012400 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 263012400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (553536000).

263012400 is an abundant number, since it is smaller than the sum of its proper divisors (844059600).

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

263012400 is a wasteful number, since it uses less digits than its factorization.

263012400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 119 (or 88 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 263012400 is about 16217.6570440986. The cubic root of 263012400 is about 640.7059267981.

Adding to 263012400 its reverse (4210362), we get a palindrome (267222762).

The spelling of 263012400 in words is "two hundred sixty-three million, twelve thousand, four hundred".