263326464 has 252 divisors, whose sum is σ = 844486776. Its totient is φ = 81616896.

The previous prime is 263326457. The next prime is 263326519. The reversal of 263326464 is 464623362.

263326464 is a `hidden beast` number, since 2 + 6 + 3 + 3 + 2 + 646 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 3172567 + ... + 3172649.

It is an arithmetic number, because the mean of its divisors is an integer number (3351138).

Almost surely, 2^263326464 is an apocalyptic number.

263326464 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 263326464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (422243388).

263326464 is an abundant number, since it is smaller than the sum of its proper divisors (581160312).

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

263326464 is an frugal number, since it uses more digits than its factorization.

263326464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 134 (or 105 counting only the distinct ones).

The product of its digits is 124416, while the sum is 36.

The square root of 263326464 is about 16227.3369349379. The cubic root of 263326464 is about 640.9608483984.

The spelling of 263326464 in words is "two hundred sixty-three million, three hundred twenty-six thousand, four hundred sixty-four".