263384820 has 144 divisors (see below), whose sum is σ = 829679760. Its totient is φ = 67584000.

The previous prime is 263384809. The next prime is 263384827. The reversal of 263384820 is 28483362.

It can be written as a sum of positive squares in 8 ways, for example, as 8088336 + 255296484 = 2844^2 + 15978^2 .

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (263384827) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 656620 + ... + 657020.

It is an arithmetic number, because the mean of its divisors is an integer number (5761665).

Almost surely, 2^263384820 is an apocalyptic number.

263384820 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 263384820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (414839880).

263384820 is an abundant number, since it is smaller than the sum of its proper divisors (566294940).

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

263384820 is a wasteful number, since it uses less digits than its factorization.

263384820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 546 (or 541 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 36.

The square root of 263384820 is about 16229.1349122496. The cubic root of 263384820 is about 641.0081928595.

The spelling of 263384820 in words is "two hundred sixty-three million, three hundred eighty-four thousand, eight hundred twenty".