263422080 has 384 divisors, whose sum is σ = 1002456000. Its totient is φ = 63479808.

The previous prime is 263422073. The next prime is 263422087. The reversal of 263422080 is 80224362.

263422080 is a `hidden beast` number, since 2 + 634 + 2 + 20 + 8 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (263422073) and next prime (263422087).

It is a tau number, because it is divible by the number of its divisors (384).

It is not an unprimeable number, because it can be changed into a prime (263422087) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3173719 + ... + 3173801.

Almost surely, 2^263422080 is an apocalyptic number.

263422080 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 263422080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (501228000).

263422080 is an abundant number, since it is smaller than the sum of its proper divisors (739033920).

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

263422080 is a wasteful number, since it uses less digits than its factorization.

263422080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 156 (or 141 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

The square root of 263422080 is about 16230.2828071479. The cubic root of 263422080 is about 641.0384183917.

The spelling of 263422080 in words is "two hundred sixty-three million, four hundred twenty-two thousand, eighty".