263975712 has 384 divisors, whose sum is σ = 967292928. Its totient is φ = 60825600.

The previous prime is 263975687. The next prime is 263975783. The reversal of 263975712 is 217579362.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3939903 + ... + 3939969.

It is an arithmetic number, because the mean of its divisors is an integer number (2518992).

Almost surely, 2^263975712 is an apocalyptic number.

263975712 is a gapful number since it is divisible by the number (22) 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 263975712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (483646464).

263975712 is an abundant number, since it is smaller than the sum of its proper divisors (703317216).

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

263975712 is a wasteful number, since it uses less digits than its factorization.

263975712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 152 (or 144 counting only the distinct ones).

The product of its digits is 158760, while the sum is 42.

The square root of 263975712 is about 16247.3293805474. The cubic root of 263975712 is about 641.4871925186.

The spelling of 263975712 in words is "two hundred sixty-three million, nine hundred seventy-five thousand, seven hundred twelve".