263454240 has 192 divisors, whose sum is σ = 960180480. Its totient is φ = 59473920.

The previous prime is 263454229. The next prime is 263454263. The reversal of 263454240 is 42454362.

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 = 263454198 and 263454207.

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 31 ways as a sum of consecutive naturals, for example, 298600 + ... + 299480.

It is an arithmetic number, because the mean of its divisors is an integer number (5000940).

Almost surely, 2^263454240 is an apocalyptic number.

263454240 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 263454240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (480090240).

263454240 is an abundant number, since it is smaller than the sum of its proper divisors (696726240).

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

263454240 is a wasteful number, since it uses less digits than its factorization.

263454240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 995 (or 987 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 30.

The square root of 263454240 is about 16231.2735175032. The cubic root of 263454240 is about 641.0645044822.

The spelling of 263454240 in words is "two hundred sixty-three million, four hundred fifty-four thousand, two hundred forty".