416268 has 36 divisors (see below), whose sum is σ = 1089088. Its totient is φ = 133920.

The previous prime is 416263. The next prime is 416281. The reversal of 416268 is 862614.

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

It is a Smith number, since the sum of its digits (27) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (416263) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 930 + ... + 1302.

2⁴¹⁶²⁶⁸ 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 416268, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (544544).

416268 is an abundant number, since it is smaller than the sum of its proper divisors (672820).

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

416268 is a wasteful number, since it uses less digits than its factorization.

416268 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 414 (or 409 counting only the distinct ones).

The product of its digits is 2304, while the sum is 27.

The square root of 416268 is about 645.1883445940. The cubic root of 416268 is about 74.6662503520. Note that the first 3 decimals are identical.

The spelling of 416268 in words is "four hundred sixteen thousand, two hundred sixty-eight".