263526480 has 320 divisors, whose sum is σ = 1074931200. Its totient is φ = 58060800.

The previous prime is 263526467. The next prime is 263526481. The reversal of 263526480 is 84625362.

263526480 is a `hidden beast` number, since 2 + 6 + 3 + 5 + 2 + 648 + 0 = 666.

It is a super-2 number, since 2×263526480² = 138892411322380800, which contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (263526481) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 438180 + ... + 438780.

It is an arithmetic number, because the mean of its divisors is an integer number (3359160).

Almost surely, 2^263526480 is an apocalyptic number.

263526480 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 263526480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (537465600).

263526480 is an abundant number, since it is smaller than the sum of its proper divisors (811404720).

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

263526480 is a wasteful number, since it uses less digits than its factorization.

263526480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 659 (or 647 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The square root of 263526480 is about 16233.4986986786. The cubic root of 263526480 is about 641.1230931105.

The spelling of 263526480 in words is "two hundred sixty-three million, five hundred twenty-six thousand, four hundred eighty".