268452 has 18 divisors (see below), whose sum is σ = 678678. Its totient is φ = 89472.

The previous prime is 268439. The next prime is 268459. The reversal of 268452 is 254862.

268452 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 207936 + 60516 = 456^2 + 246^2 .

It is a tau number, because it is divible by the number of its divisors (18).

It is not an unprimeable number, because it can be changed into a prime (268459) by changing a digit.

268452 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 3693 + ... + 3764.

2²⁶⁸⁴⁵² is an apocalyptic number.

It is an amenable number.

268452 is an abundant number, since it is smaller than the sum of its proper divisors (410226).

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

268452 is a wasteful number, since it uses less digits than its factorization.

268452 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7467 (or 7462 counting only the distinct ones).

The product of its digits is 3840, while the sum is 27.

The square root of 268452 is about 518.1235373924. The cubic root of 268452 is about 64.5092829617.

The spelling of 268452 in words is "two hundred sixty-eight thousand, four hundred fifty-two".