414057 has 8 divisors (see below), whose sum is σ = 630976. Its totient is φ = 236592.

The previous prime is 414053. The next prime is 414061. The reversal of 414057 is 750414.

It is an interprime number because it is at equal distance from previous prime (414053) and next prime (414061).

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 414057 - 2² = 414053 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (21), and also a Moran number because the ratio is a prime number: 19717 = 414057 / (4 + 1 + 4 + 0 + 5 + 7).

It is a Duffinian number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 414057.

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 7 ways as a sum of consecutive naturals, for example, 9838 + ... + 9879.

It is an arithmetic number, because the mean of its divisors is an integer number (78872).

2⁴¹⁴⁰⁵⁷ is an apocalyptic number.

It is an amenable number.

414057 is a deficient number, since it is larger than the sum of its proper divisors (216919).

414057 is a wasteful number, since it uses less digits than its factorization.

414057 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19727.

The product of its (nonzero) digits is 560, while the sum is 21.

The square root of 414057 is about 643.4726101397. The cubic root of 414057 is about 74.5338194575.

The spelling of 414057 in words is "four hundred fourteen thousand, fifty-seven".