414374821 has 18 divisors (see below), whose sum is σ = 487434930. Its totient is φ = 351237600.

The previous prime is 414374767. The next prime is 414374827. The reversal of 414374821 is 128473414.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 299670721 + 114704100 = 17311^2 + 10710^2 .

It is not a de Polignac number, because 414374821 - 2¹³ = 414366629 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (414374827) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 499435 + ... + 500263.

Almost surely, 2^414374821 is an apocalyptic number.

It is an amenable number.

414374821 is a deficient number, since it is larger than the sum of its proper divisors (73060109).

414374821 is an equidigital number, since it uses as much as digits as its factorization.

414374821 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1045 (or 937 counting only the distinct ones).

The product of its digits is 21504, while the sum is 34.

The square root of 414374821 is about 20356.1985891276. The cubic root of 414374821 is about 745.5288475102.

The spelling of 414374821 in words is "four hundred fourteen million, three hundred seventy-four thousand, eight hundred twenty-one".