414056 has 16 divisors (see below), whose sum is σ = 788100. Its totient is φ = 203904.

The previous prime is 414053. The next prime is 414061. The reversal of 414056 is 650414.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 401956 + 12100 = 634^2 + 110^2 .

It is a super-2 number, since 2×414056² = 342884742272, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (414053) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 230 + ... + 938.

2⁴¹⁴⁰⁵⁶ is an apocalyptic number.

It is an amenable number.

414056 is a deficient number, since it is larger than the sum of its proper divisors (374044).

414056 is a wasteful number, since it uses less digits than its factorization.

414056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 788 (or 784 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 20.

The square root of 414056 is about 643.4718331054. The cubic root of 414056 is about 74.5337594546.

The spelling of 414056 in words is "four hundred fourteen thousand, fifty-six".