268213464 has 64 divisors (see below), whose sum is σ = 746985600. Its totient is φ = 89170848.

The previous prime is 268213447. The next prime is 268213493. The reversal of 268213464 is 464312862.

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 15 ways as a sum of consecutive naturals, for example, 94287 + ... + 97089.

It is an arithmetic number, because the mean of its divisors is an integer number (11671650).

Almost surely, 2^268213464 is an apocalyptic number.

268213464 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 268213464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (373492800).

268213464 is an abundant number, since it is smaller than the sum of its proper divisors (478772136).

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

268213464 is a wasteful number, since it uses less digits than its factorization.

268213464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3261 (or 3251 counting only the distinct ones).

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

The square root of 268213464 is about 16377.2239405828. The cubic root of 268213464 is about 644.9017048696.

The spelling of 268213464 in words is "two hundred sixty-eight million, two hundred thirteen thousand, four hundred sixty-four".