263829852 has 144 divisors (see below), whose sum is σ = 810193440. Its totient is φ = 73751040.

The previous prime is 263829833. The next prime is 263829857. The reversal of 263829852 is 258928362.

It is a happy number.

263829852 is a `hidden beast` number, since 2 + 638 + 2 + 9 + 8 + 5 + 2 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 263829798 and 263829807.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (263829857) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 169108 + ... + 170660.

Almost surely, 2^263829852 is an apocalyptic number.

263829852 is a gapful number since it is divisible by the number (22) 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 263829852, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (405096720).

263829852 is an abundant number, since it is smaller than the sum of its proper divisors (546363588).

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

263829852 is a wasteful number, since it uses less digits than its factorization.

263829852 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1601 (or 1582 counting only the distinct ones).

The product of its digits is 414720, while the sum is 45.

The square root of 263829852 is about 16242.8400226069. The cubic root of 263829852 is about 641.3690193225.

The spelling of 263829852 in words is "two hundred sixty-three million, eight hundred twenty-nine thousand, eight hundred fifty-two".