263742000 has 160 divisors (see below), whose sum is σ = 860034240. Its totient is φ = 69529600.

The previous prime is 263741969. The next prime is 263742019. The reversal of 263742000 is 247362.

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

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 31 ways as a sum of consecutive naturals, for example, 677806 + ... + 678194.

It is an arithmetic number, because the mean of its divisors is an integer number (5375214).

Almost surely, 2^263742000 is an apocalyptic number.

263742000 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 263742000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (430017120).

263742000 is an abundant number, since it is smaller than the sum of its proper divisors (596292240).

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

263742000 is a wasteful number, since it uses less digits than its factorization.

263742000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 528 (or 512 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 24.

The square root of 263742000 is about 16240.1354674153. The cubic root of 263742000 is about 641.2978221653.

Adding to 263742000 its reverse (247362), we get a palindrome (263989362).

The spelling of 263742000 in words is "two hundred sixty-three million, seven hundred forty-two thousand".