263094272 has 128 divisors (see below), whose sum is σ = 637524480. Its totient is φ = 106168320.

The previous prime is 263094269. The next prime is 263094283. The reversal of 263094272 is 272490362.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (128).

It is a taxicab number since it can be written as a sum of two cubes in more than one way. Here 263094272 = 272³ + 624³ = 416³ + 576³.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7110638 + ... + 7110674.

It is an arithmetic number, because the mean of its divisors is an integer number (4980660).

Almost surely, 2^263094272 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 263094272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (318762240).

263094272 is an abundant number, since it is smaller than the sum of its proper divisors (374430208).

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

263094272 is an frugal number, since it uses more digits than its factorization.

263094272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 105 (or 77 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 35.

The square root of 263094272 is about 16220.1810100874. The cubic root of 263094272 is about 640.7724007662.

The spelling of 263094272 in words is "two hundred sixty-three million, ninety-four thousand, two hundred seventy-two".