414082821 has 16 divisors (see below), whose sum is σ = 598848768. Its totient is φ = 253478400.

The previous prime is 414082727. The next prime is 414082849. The reversal of 414082821 is 128280414.

It is not a de Polignac number, because 414082821 - 2¹¹ = 414080773 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (414082861) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 96925 + ... + 101106.

It is an arithmetic number, because the mean of its divisors is an integer number (37428048).

Almost surely, 2^414082821 is an apocalyptic number.

414082821 is a gapful number since it is divisible by the number (41) formed by its first and last digit.

It is an amenable number.

414082821 is a deficient number, since it is larger than the sum of its proper divisors (184765947).

414082821 is a wasteful number, since it uses less digits than its factorization.

414082821 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 198092.

The product of its (nonzero) digits is 4096, while the sum is 30.

The square root of 414082821 is about 20349.0250626412. The cubic root of 414082821 is about 745.3536875928.

The spelling of 414082821 in words is "four hundred fourteen million, eighty-two thousand, eight hundred twenty-one".