268463448 has 96 divisors (see below), whose sum is σ = 811736640. Its totient is φ = 79450560.

The previous prime is 268463443. The next prime is 268463519. The reversal of 268463448 is 844364862.

268463448 is a `hidden beast` number, since 2 + 6 + 8 + 4 + 634 + 4 + 8 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (268463443) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 30115 + ... + 37997.

It is an arithmetic number, because the mean of its divisors is an integer number (8455590).

Almost surely, 2^268463448 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 268463448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (405868320).

268463448 is an abundant number, since it is smaller than the sum of its proper divisors (543273192).

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

268463448 is a wasteful number, since it uses less digits than its factorization.

268463448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7949 (or 7942 counting only the distinct ones).

The product of its digits is 884736, while the sum is 45.

The square root of 268463448 is about 16384.8542257781. The cubic root of 268463448 is about 645.1019993730.

The spelling of 268463448 in words is "two hundred sixty-eight million, four hundred sixty-three thousand, four hundred forty-eight".