263039040 has 504 divisors, whose sum is σ = 1086965568. Its totient is φ = 57784320.

The previous prime is 263039039. The next prime is 263039129. The reversal of 263039040 is 40930362.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 263038995 and 263039013.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 11436469 + ... + 11436491.

Almost surely, 2^263039040 is an apocalyptic number.

263039040 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 263039040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (543482784).

263039040 is an abundant number, since it is smaller than the sum of its proper divisors (823926528).

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

263039040 is a wasteful number, since it uses less digits than its factorization.

263039040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 95 (or 63 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 27.

The square root of 263039040 is about 16218.4783503262. The cubic root of 263039040 is about 640.7275580085.

The spelling of 263039040 in words is "two hundred sixty-three million, thirty-nine thousand, forty".