263382840 has 384 divisors, whose sum is σ = 1048320000. Its totient is φ = 59439744.

The previous prime is 263382827. The next prime is 263382857. The reversal of 263382840 is 48283362.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 263382795 and 263382804.

It is a congruent number.

It is an unprimeable number.

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 95 ways as a sum of consecutive naturals, for example, 3333921 + ... + 3333999.

It is an arithmetic number, because the mean of its divisors is an integer number (2730000).

Almost surely, 2^263382840 is an apocalyptic number.

263382840 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 263382840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (524160000).

263382840 is an abundant number, since it is smaller than the sum of its proper divisors (784937160).

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

263382840 is an equidigital number, since it uses as much as digits as its factorization.

263382840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 126 (or 96 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 36.

The square root of 263382840 is about 16229.0739107319. The cubic root of 263382840 is about 641.0065865920.

The spelling of 263382840 in words is "two hundred sixty-three million, three hundred eighty-two thousand, eight hundred forty".