263349720 has 192 divisors, whose sum is σ = 931525920. Its totient is φ = 64253952.

The previous prime is 263349719. The next prime is 263349727. The reversal of 263349720 is 27943362.

It is a happy number.

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 (263349727) 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, 225859 + ... + 227021.

Almost surely, 2^263349720 is an apocalyptic number.

263349720 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 263349720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (465762960).

263349720 is an abundant number, since it is smaller than the sum of its proper divisors (668176200).

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

263349720 is a wasteful number, since it uses less digits than its factorization.

263349720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1234 (or 1227 counting only the distinct ones).

The product of its (nonzero) digits is 54432, while the sum is 36.

The square root of 263349720 is about 16228.0534877107. The cubic root of 263349720 is about 640.9797169244.

The spelling of 263349720 in words is "two hundred sixty-three million, three hundred forty-nine thousand, seven hundred twenty".