263340480 has 112 divisors (see below), whose sum is σ = 900464544. Its totient is φ = 64819200.

The previous prime is 263340479. The next prime is 263340487. The reversal of 263340480 is 84043362.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (263340487) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1930 + ... + 23030.

It is an arithmetic number, because the mean of its divisors is an integer number (8039862).

Almost surely, 2^263340480 is an apocalyptic number.

263340480 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 263340480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (450232272).

263340480 is an abundant number, since it is smaller than the sum of its proper divisors (637124064).

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

263340480 is a wasteful number, since it uses less digits than its factorization.

263340480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21134 (or 21124 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 30.

The square root of 263340480 is about 16227.7687930288. The cubic root of 263340480 is about 640.9722202747.

The spelling of 263340480 in words is "two hundred sixty-three million, three hundred forty thousand, four hundred eighty".