263463264 has 72 divisors (see below), whose sum is σ = 753152400. Its totient is φ = 87360768.

The previous prime is 263463227. The next prime is 263463271. The reversal of 263463264 is 462364362.

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 55014 + ... + 59610.

It is an arithmetic number, because the mean of its divisors is an integer number (10460450).

Almost surely, 2^263463264 is an apocalyptic number.

263463264 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 263463264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (376576200).

263463264 is an abundant number, since it is smaller than the sum of its proper divisors (489689136).

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

263463264 is a wasteful number, since it uses less digits than its factorization.

263463264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4812 (or 4801 counting only the distinct ones).

The product of its digits is 124416, while the sum is 36.

The square root of 263463264 is about 16231.5514970073. The cubic root of 263463264 is about 641.0718237799.

The spelling of 263463264 in words is "two hundred sixty-three million, four hundred sixty-three thousand, two hundred sixty-four".