263412864 has 384 divisors, whose sum is σ = 940766400. Its totient is φ = 71884800.

The previous prime is 263412857. The next prime is 263412881. The reversal of 263412864 is 468214362.

263412864 is a `hidden beast` number, since 2 + 634 + 12 + 8 + 6 + 4 = 666.

263412864 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (384).

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 polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6424684 + ... + 6424724.

Almost surely, 2^263412864 is an apocalyptic number.

263412864 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 263412864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (470383200).

263412864 is an abundant number, since it is smaller than the sum of its proper divisors (677353536).

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

263412864 is a wasteful number, since it uses less digits than its factorization.

263412864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 101 (or 70 counting only the distinct ones).

The product of its digits is 55296, while the sum is 36.

The square root of 263412864 is about 16229.9988909427. The cubic root of 263412864 is about 641.0309425834.

Adding to 263412864 its sum of digits (36), we get a square (263412900 = 16230²).

The spelling of 263412864 in words is "two hundred sixty-three million, four hundred twelve thousand, eight hundred sixty-four".