263798964 has 384 divisors, whose sum is σ = 903168000. Its totient is φ = 65318400.

The previous prime is 263798947. The next prime is 263798981. The reversal of 263798964 is 469897362.

It is a happy number.

263798964 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (263798947) and next prime (263798981).

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

Its product of digits (3919104) is a multiple of the sum of its prime divisors (108).

It is a self number, because there is not a number n which added to its sum of digits gives 263798964.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 8509629 + ... + 8509659.

It is an arithmetic number, because the mean of its divisors is an integer number (2352000).

Almost surely, 2^263798964 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 263798964, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (451584000).

263798964 is an abundant number, since it is smaller than the sum of its proper divisors (639369036).

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

263798964 is a wasteful number, since it uses less digits than its factorization.

263798964 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 116 (or 108 counting only the distinct ones).

The product of its digits is 3919104, while the sum is 54.

The square root of 263798964 is about 16241.8891758317. The cubic root of 263798964 is about 641.3439888224.

The spelling of 263798964 in words is "two hundred sixty-three million, seven hundred ninety-eight thousand, nine hundred sixty-four".