414993 has 8 divisors (see below), whose sum is σ = 566368. Its totient is φ = 270144.

The previous prime is 414991. The next prime is 415013. The reversal of 414993 is 399414.

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

It is not a de Polignac number, because 414993 - 2¹ = 414991 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is a nialpdrome in base 16.

It is a self number, because there is not a number n which added to its sum of digits gives 414993.

It is not an unprimeable number, because it can be changed into a prime (414991) 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, 1480 + ... + 1737.

It is an arithmetic number, because the mean of its divisors is an integer number (70796).

2⁴¹⁴⁹⁹³ is an apocalyptic number.

414993 is a gapful number since it is divisible by the number (43) formed by its first and last digit.

It is an amenable number.

414993 is a deficient number, since it is larger than the sum of its proper divisors (151375).

414993 is a wasteful number, since it uses less digits than its factorization.

414993 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3263.

The product of its digits is 3888, while the sum is 30.

The square root of 414993 is about 644.1995032597. The cubic root of 414993 is about 74.5899398730.

The spelling of 414993 in words is "four hundred fourteen thousand, nine hundred ninety-three".