263532420 has 96 divisors (see below), whose sum is σ = 839946240. Its totient is φ = 68555520.

The previous prime is 263532371. The next prime is 263532421. The reversal of 263532420 is 24235362.

263532420 is a `hidden beast` number, since 2 + 635 + 3 + 2 + 4 + 20 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (263532421) 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, 16189 + ... + 28091.

It is an arithmetic number, because the mean of its divisors is an integer number (8749440).

Almost surely, 2^263532420 is an apocalyptic number.

263532420 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 263532420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (419973120).

263532420 is an abundant number, since it is smaller than the sum of its proper divisors (576413820).

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

263532420 is a wasteful number, since it uses less digits than its factorization.

263532420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11962 (or 11954 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 27.

The square root of 263532420 is about 16233.6816526628. The cubic root of 263532420 is about 641.1279101376.

Adding to 263532420 its reverse (24235362), we get a palindrome (287767782).

The spelling of 263532420 in words is "two hundred sixty-three million, five hundred thirty-two thousand, four hundred twenty".