263938464 has 288 divisors, whose sum is σ = 860461056. Its totient is φ = 76308480.

The previous prime is 263938459. The next prime is 263938513. The reversal of 263938464 is 464839362.

263938464 is a `hidden beast` number, since 2 + 639 + 3 + 8 + 4 + 6 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5615689 + ... + 5615735.

It is an arithmetic number, because the mean of its divisors is an integer number (2987712).

Almost surely, 2^263938464 is an apocalyptic number.

263938464 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 263938464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (430230528).

263938464 is an abundant number, since it is smaller than the sum of its proper divisors (596522592).

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

263938464 is a wasteful number, since it uses less digits than its factorization.

263938464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 148 (or 137 counting only the distinct ones).

The product of its digits is 746496, while the sum is 45.

The square root of 263938464 is about 16246.1830594143. The cubic root of 263938464 is about 641.4570189865.

The spelling of 263938464 in words is "two hundred sixty-three million, nine hundred thirty-eight thousand, four hundred sixty-four".