263038464 has 120 divisors (see below), whose sum is σ = 817728912. Its totient is φ = 80916480.

The previous prime is 263038429. The next prime is 263038471. The reversal of 263038464 is 464830362.

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 an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 57709 + ... + 62099.

Almost surely, 2^263038464 is an apocalyptic number.

263038464 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 263038464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (408864456).

263038464 is an abundant number, since it is smaller than the sum of its proper divisors (554690448).

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

263038464 is a wasteful number, since it uses less digits than its factorization.

263038464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4428 (or 4409 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 36.

The square root of 263038464 is about 16218.4605927936. The cubic root of 263038464 is about 640.7270903221.

The spelling of 263038464 in words is "two hundred sixty-three million, thirty-eight thousand, four hundred sixty-four".