263243904 has 256 divisors, whose sum is σ = 904780800. Its totient is φ = 65802240.

The previous prime is 263243881. The next prime is 263243923. The reversal of 263243904 is 409342362.

It is a super-2 number, since 2×263243904² = 138594705986322432, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 857319 + ... + 857625.

It is an arithmetic number, because the mean of its divisors is an integer number (3534300).

Almost surely, 2^263243904 is an apocalyptic number.

263243904 is a gapful number since it is divisible by the number (24) 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 263243904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (452390400).

263243904 is an abundant number, since it is smaller than the sum of its proper divisors (641536896).

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

263243904 is a wasteful number, since it uses less digits than its factorization.

263243904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 371 (or 359 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 33.

The square root of 263243904 is about 16224.7928800339. The cubic root of 263243904 is about 640.8938551838.

The spelling of 263243904 in words is "two hundred sixty-three million, two hundred forty-three thousand, nine hundred four".