263474688 has 80 divisors (see below), whose sum is σ = 705378960. Its totient is φ = 87392256.

The previous prime is 263474573. The next prime is 263474689. The reversal of 263474688 is 886474362.

It is a super-2 number, since 2×263474688² = 138837822433394688, which contains 22 as substring.

It is a Smith number, since the sum of its digits (48) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (263474689) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 517378 + ... + 517886.

It is an arithmetic number, because the mean of its divisors is an integer number (8817237).

Almost surely, 2^263474688 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 263474688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (352689480).

263474688 is an abundant number, since it is smaller than the sum of its proper divisors (441904272).

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

263474688 is an equidigital number, since it uses as much as digits as its factorization.

263474688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 867 (or 851 counting only the distinct ones).

The product of its digits is 1548288, while the sum is 48.

The square root of 263474688 is about 16231.9034004026. The cubic root of 263474688 is about 641.0810894596.

The spelling of 263474688 in words is "two hundred sixty-three million, four hundred seventy-four thousand, six hundred eighty-eight".