416256 has 40 divisors (see below), whose sum is σ = 1113024. Its totient is φ = 138240.

The previous prime is 416249. The next prime is 416257. The reversal of 416256 is 652614.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (416257) by changing a digit.

416256 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 3 ways as a sum of consecutive naturals, for example, 1401 + ... + 1671.

2⁴¹⁶²⁵⁶ 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 416256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (556512).

416256 is an abundant number, since it is smaller than the sum of its proper divisors (696768).

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

416256 is an equidigital number, since it uses as much as digits as its factorization.

416256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 292 (or 276 counting only the distinct ones).

The product of its digits is 1440, while the sum is 24.

The square root of 416256 is about 645.1790449170. The cubic root of 416256 is about 74.6655328626.

The spelling of 416256 in words is "four hundred sixteen thousand, two hundred fifty-six".