268468464 has 80 divisors (see below), whose sum is σ = 767986560. Its totient is φ = 80129280.

The previous prime is 268468441. The next prime is 268468481. The reversal of 268468464 is 464864862.

It is a Harshad number since it is a multiple of its sum of digits (48).

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 15 ways as a sum of consecutive naturals, for example, 31582 + ... + 39170.

It is an arithmetic number, because the mean of its divisors is an integer number (9599832).

Almost surely, 2^268468464 is an apocalyptic number.

268468464 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 268468464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (383993280).

268468464 is an abundant number, since it is smaller than the sum of its proper divisors (499518096).

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

268468464 is a wasteful number, since it uses less digits than its factorization.

268468464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7678 (or 7672 counting only the distinct ones).

The product of its digits is 1769472, while the sum is 48.

The square root of 268468464 is about 16385.0072932544. The cubic root of 268468464 is about 645.1060170664.

The spelling of 268468464 in words is "two hundred sixty-eight million, four hundred sixty-eight thousand, four hundred sixty-four".