263997792 has 120 divisors (see below), whose sum is σ = 782119800. Its totient is φ = 87353856.

The previous prime is 263997791. The next prime is 263997847. The reversal of 263997792 is 297799362.

263997792 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (263997791) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 463684 + ... + 464252.

It is an arithmetic number, because the mean of its divisors is an integer number (6517665).

Almost surely, 2^263997792 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 263997792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (391059900).

263997792 is an abundant number, since it is smaller than the sum of its proper divisors (518122008).

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

263997792 is a wasteful number, since it uses less digits than its factorization.

263997792 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 770 (or 753 counting only the distinct ones).

The product of its digits is 2571912, while the sum is 54.

The square root of 263997792 is about 16248.0088626268. The cubic root of 263997792 is about 641.5050775508.

It can be divided in two parts, 26399 and 7792, that added together give a triangular number (34191 = T₂₆₁).

The spelling of 263997792 in words is "two hundred sixty-three million, nine hundred ninety-seven thousand, seven hundred ninety-two".