263059940 has 192 divisors, whose sum is σ = 704471040. Its totient is φ = 81077760.

The previous prime is 263059919. The next prime is 263059949. The reversal of 263059940 is 49950362.

It is a hoax number, since the sum of its digits (38) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (38).

It is a junction number, because it is equal to n+sod(n) for n = 263059894 and 263059903.

It is not an unprimeable number, because it can be changed into a prime (263059949) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2553929 + ... + 2554031.

It is an arithmetic number, because the mean of its divisors is an integer number (3669120).

Almost surely, 2^263059940 is an apocalyptic number.

263059940 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 263059940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (352235520).

263059940 is an abundant number, since it is smaller than the sum of its proper divisors (441411100).

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

263059940 is a wasteful number, since it uses less digits than its factorization.

263059940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 202 (or 200 counting only the distinct ones).

The product of its (nonzero) digits is 58320, while the sum is 38.

The square root of 263059940 is about 16219.1226643120. The cubic root of 263059940 is about 640.7445274177.

The spelling of 263059940 in words is "two hundred sixty-three million, fifty-nine thousand, nine hundred forty".