263350332 has 192 divisors, whose sum is σ = 854138880. Its totient is φ = 68428800.

The previous prime is 263350331. The next prime is 263350333. The reversal of 263350332 is 233053362.

It is an interprime number because it is at equal distance from previous prime (263350331) and next prime (263350333).

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

It is a junction number, because it is equal to n+sod(n) for n = 263350296 and 263350305.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (263350331) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 398082 + ... + 398742.

It is an arithmetic number, because the mean of its divisors is an integer number (4448640).

Almost surely, 2^263350332 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 263350332, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (427069440).

263350332 is an abundant number, since it is smaller than the sum of its proper divisors (590788548).

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

263350332 is a wasteful number, since it uses less digits than its factorization.

263350332 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 729 (or 721 counting only the distinct ones).

The product of its (nonzero) digits is 9720, while the sum is 27.

The square root of 263350332 is about 16228.0723439354. The cubic root of 263350332 is about 640.9802134496.

The spelling of 263350332 in words is "two hundred sixty-three million, three hundred fifty thousand, three hundred thirty-two".