263748240 has 240 divisors, whose sum is σ = 1036683648. Its totient is φ = 58834944.

The previous prime is 263748239. The next prime is 263748293. The reversal of 263748240 is 42847362.

It is a tau number, because it is divible by the number of its divisors (240).

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

It is a junction number, because it is equal to n+sod(n) for n = 263748195 and 263748204.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 216112 + ... + 217328.

Almost surely, 2^263748240 is an apocalyptic number.

263748240 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 263748240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (518341824).

263748240 is an abundant number, since it is smaller than the sum of its proper divisors (772935408).

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

263748240 is a wasteful number, since it uses less digits than its factorization.

263748240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1286 (or 1277 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 36.

The square root of 263748240 is about 16240.3275829030. The cubic root of 263748240 is about 641.3028797175.

The spelling of 263748240 in words is "two hundred sixty-three million, seven hundred forty-eight thousand, two hundred forty".