263625400 has 48 divisors (see below), whose sum is σ = 616132440. Its totient is φ = 104899200.

The previous prime is 263625377. The next prime is 263625403. The reversal of 263625400 is 4526362.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (263625403) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 36055 + ... + 42745.

Almost surely, 2^263625400 is an apocalyptic number.

263625400 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 263625400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (308066220).

263625400 is an abundant number, since it is smaller than the sum of its proper divisors (352507040).

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

263625400 is a wasteful number, since it uses less digits than its factorization.

263625400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6904 (or 6895 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 28.

The square root of 263625400 is about 16236.5451990256. The cubic root of 263625400 is about 641.2033025866.

The spelling of 263625400 in words is "two hundred sixty-three million, six hundred twenty-five thousand, four hundred".