263380320 has 576 divisors, whose sum is σ = 1146337920. Its totient is φ = 53673984.

The previous prime is 263380253. The next prime is 263380333. The reversal of 263380320 is 23083362.

263380320 is a `hidden beast` number, since 2 + 6 + 338 + 0 + 320 = 666.

It is a congruent number.

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, 4969414 + ... + 4969466.

It is an arithmetic number, because the mean of its divisors is an integer number (1990170).

Almost surely, 2^263380320 is an apocalyptic number.

263380320 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 263380320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (573168960).

263380320 is an abundant number, since it is smaller than the sum of its proper divisors (882957600).

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

263380320 is a wasteful number, since it uses less digits than its factorization.

263380320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 127 (or 116 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

The square root of 263380320 is about 16228.9962721051. The cubic root of 263380320 is about 641.0045422400.

The spelling of 263380320 in words is "two hundred sixty-three million, three hundred eighty thousand, three hundred twenty".