263505984 has 224 divisors, whose sum is σ = 889528320. Its totient is φ = 67018752.

The previous prime is 263505973. The next prime is 263505989. The reversal of 263505984 is 489505362.

It is a tau number, because it is divible by the number of its divisors (224).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is not an unprimeable number, because it can be changed into a prime (263505989) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 433809 + ... + 434415.

Almost surely, 2^263505984 is an apocalyptic number.

263505984 is a gapful number since it is divisible by the number (24) 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 263505984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (444764160).

263505984 is an abundant number, since it is smaller than the sum of its proper divisors (626022336).

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

263505984 is a wasteful number, since it uses less digits than its factorization.

263505984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 665 (or 655 counting only the distinct ones).

The product of its (nonzero) digits is 259200, while the sum is 42.

The square root of 263505984 is about 16232.8673991997. The cubic root of 263505984 is about 641.1064713785.

The spelling of 263505984 in words is "two hundred sixty-three million, five hundred five thousand, nine hundred eighty-four".