263397120 has 288 divisors, whose sum is σ = 988968960. Its totient is φ = 58490880.

The previous prime is 263397103. The next prime is 263397131. The reversal of 263397120 is 21793362.

It is a happy number.

263397120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1101961 + ... + 1102199.

It is an arithmetic number, because the mean of its divisors is an integer number (3433920).

Almost surely, 2^263397120 is an apocalyptic number.

263397120 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 263397120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (494484480).

263397120 is an abundant number, since it is smaller than the sum of its proper divisors (725571840).

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

263397120 is a wasteful number, since it uses less digits than its factorization.

263397120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 311 (or 297 counting only the distinct ones).

The product of its (nonzero) digits is 13608, while the sum is 33.

The square root of 263397120 is about 16229.5138559354. The cubic root of 263397120 is about 641.0181710074.

The spelling of 263397120 in words is "two hundred sixty-three million, three hundred ninety-seven thousand, one hundred twenty".