407268 has 36 divisors (see below), whose sum is σ = 1070160. Its totient is φ = 135432.

The previous prime is 407263. The next prime is 407273. The reversal of 407268 is 862704.

It is an interprime number because it is at equal distance from previous prime (407263) and next prime (407273).

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (407263) by changing a digit.

407268 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 11 ways as a sum of consecutive naturals, for example, 763 + ... + 1181.

2⁴⁰⁷²⁶⁸ 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 407268, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (535080).

407268 is an abundant number, since it is smaller than the sum of its proper divisors (662892).

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

407268 is a wasteful number, since it uses less digits than its factorization.

407268 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 438 (or 424 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The square root of 407268 is about 638.1755244445. The cubic root of 407268 is about 74.1242131038.

The spelling of 407268 in words is "four hundred seven thousand, two hundred sixty-eight".