263724240 has 160 divisors (see below), whose sum is σ = 887193216. Its totient is φ = 64419840.

The previous prime is 263724217. The next prime is 263724257. The reversal of 263724240 is 42427362.

263724240 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 263724198 and 263724207.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 564487 + ... + 564953.

Almost surely, 2^263724240 is an apocalyptic number.

263724240 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 263724240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (443596608).

263724240 is an abundant number, since it is smaller than the sum of its proper divisors (623468976).

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

263724240 is a wasteful number, since it uses less digits than its factorization.

263724240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 677 (or 671 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 30.

The square root of 263724240 is about 16239.5886647415. The cubic root of 263724240 is about 641.2834271568.

The spelling of 263724240 in words is "two hundred sixty-three million, seven hundred twenty-four thousand, two hundred forty".