263088420 has 96 divisors (see below), whose sum is σ = 852139008. Its totient is φ = 59402112.

The previous prime is 263088409. The next prime is 263088437. The reversal of 263088420 is 24880362.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 31087 + ... + 38633.

It is an arithmetic number, because the mean of its divisors is an integer number (8876448).

Almost surely, 2^263088420 is an apocalyptic number.

263088420 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 263088420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (426069504).

263088420 is an abundant number, since it is smaller than the sum of its proper divisors (589050588).

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

263088420 is a wasteful number, since it uses less digits than its factorization.

263088420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7649 (or 7647 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 33.

The square root of 263088420 is about 16220.0006165228. Note that the first 3 decimals coincide. The cubic root of 263088420 is about 640.7676498356.

The spelling of 263088420 in words is "two hundred sixty-three million, eighty-eight thousand, four hundred twenty".