263149920 has 288 divisors, whose sum is σ = 1008352800. Its totient is φ = 61931520.

The previous prime is 263149897. The next prime is 263149921. The reversal of 263149920 is 29941362.

It is a tau number, because it is divible by the number of its divisors (288).

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 (263149921) 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, 585856 + ... + 586304.

It is an arithmetic number, because the mean of its divisors is an integer number (3501225).

Almost surely, 2^263149920 is an apocalyptic number.

263149920 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 263149920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (504176400).

263149920 is an abundant number, since it is smaller than the sum of its proper divisors (745202880).

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

263149920 is a wasteful number, since it uses less digits than its factorization.

263149920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 518 (or 507 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 36.

The square root of 263149920 is about 16221.8963133168. The cubic root of 263149920 is about 640.8175749270.

The spelling of 263149920 in words is "two hundred sixty-three million, one hundred forty-nine thousand, nine hundred twenty".