263334240 has 288 divisors, whose sum is σ = 1005522336. Its totient is φ = 64696320.

The previous prime is 263334209. The next prime is 263334259. The reversal of 263334240 is 42433362.

It is a happy number.

263334240 is a `hidden beast` number, since 2 + 633 + 3 + 4 + 24 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 505180 + ... + 505700.

It is an arithmetic number, because the mean of its divisors is an integer number (3491397).

Almost surely, 2^263334240 is an apocalyptic number.

263334240 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 263334240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (502761168).

263334240 is an abundant number, since it is smaller than the sum of its proper divisors (742188096).

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

263334240 is a wasteful number, since it uses less digits than its factorization.

263334240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 564 (or 544 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 27.

The square root of 263334240 is about 16227.5765288598. The cubic root of 263334240 is about 640.9671575029.

The spelling of 263334240 in words is "two hundred sixty-three million, three hundred thirty-four thousand, two hundred forty".