263112432 has 80 divisors (see below), whose sum is σ = 745666560. Its totient is φ = 79283200.

The previous prime is 263112431. The next prime is 263112467. The reversal of 263112432 is 234211362.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (263112431) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 99544 + ... + 102152.

It is an arithmetic number, because the mean of its divisors is an integer number (9320832).

Almost surely, 2^263112432 is an apocalyptic number.

263112432 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 263112432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (372833280).

263112432 is an abundant number, since it is smaller than the sum of its proper divisors (482554128).

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

263112432 is a wasteful number, since it uses less digits than its factorization.

263112432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2822 (or 2816 counting only the distinct ones).

The product of its digits is 1728, while the sum is 24.

The square root of 263112432 is about 16220.7407968933. The cubic root of 263112432 is about 640.7871434653.

Adding to 263112432 its reverse (234211362), we get a palindrome (497323794).

The spelling of 263112432 in words is "two hundred sixty-three million, one hundred twelve thousand, four hundred thirty-two".