263144080 has 40 divisors (see below), whose sum is σ = 612498744. Its totient is φ = 105139200.

The previous prime is 263144069. The next prime is 263144131. The reversal of 263144080 is 80441362.

263144080 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 35617024 + 227527056 = 5968^2 + 15084^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a hoax number, since the sum of its digits (28) coincides with the sum of the digits of its distinct prime factors.

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, 117370 + ... + 119590.

Almost surely, 2^263144080 is an apocalyptic number.

263144080 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

263144080 is an abundant number, since it is smaller than the sum of its proper divisors (349354664).

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

263144080 is a wasteful number, since it uses less digits than its factorization.

263144080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3715 (or 3709 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 28.

The square root of 263144080 is about 16221.7163087017. The cubic root of 263144080 is about 640.8128344071.

The spelling of 263144080 in words is "two hundred sixty-three million, one hundred forty-four thousand, eighty".