263142000 has 320 divisors, whose sum is σ = 1030648320. Its totient is φ = 63648000.

The previous prime is 263141999. The next prime is 263142013. The reversal of 263142000 is 241362.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 593779 + ... + 594221.

It is an arithmetic number, because the mean of its divisors is an integer number (3220776).

Almost surely, 2^263142000 is an apocalyptic number.

263142000 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 263142000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (515324160).

263142000 is an abundant number, since it is smaller than the sum of its proper divisors (767506320).

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

263142000 is a wasteful number, since it uses less digits than its factorization.

263142000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 486 (or 464 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 263142000 is about 16221.6521969866. The cubic root of 263142000 is about 640.8111459858.

Adding to 263142000 its reverse (241362), we get a palindrome (263383362).

The spelling of 263142000 in words is "two hundred sixty-three million, one hundred forty-two thousand".