263567280 has 160 divisors (see below), whose sum is σ = 853588224. Its totient is φ = 67212288.

The previous prime is 263567273. The next prime is 263567287. The reversal of 263567280 is 82765362.

It is an interprime number because it is at equal distance from previous prime (263567273) and next prime (263567287).

It is a super-4 number, since 4×263567280⁴ (a number of 35 digits) contains 4444 as substring. Note that it is a super-d number also for d = 2.

It is not an unprimeable number, because it can be changed into a prime (263567287) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 594739 + ... + 595181.

Almost surely, 2^263567280 is an apocalyptic number.

263567280 is a gapful number since it is divisible by the number (20) 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 263567280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (426794112).

263567280 is an abundant number, since it is smaller than the sum of its proper divisors (590020944).

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

263567280 is a wasteful number, since it uses less digits than its factorization.

263567280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 563 (or 557 counting only the distinct ones).

The product of its (nonzero) digits is 120960, while the sum is 39.

The square root of 263567280 is about 16234.7553107523. The cubic root of 263567280 is about 641.1561783023.

The spelling of 263567280 in words is "two hundred sixty-three million, five hundred sixty-seven thousand, two hundred eighty".