414400057 has 4 divisors (see below), whose sum is σ = 422218980. Its totient is φ = 406581136.

The previous prime is 414400031. The next prime is 414400061. The reversal of 414400057 is 750004414.

It is a semiprime because it is the product of two primes, and also an emirpimes, since its reverse is a distinct semiprime: 750004414 = 2 ⋅375002207.

It can be written as a sum of positive squares in 2 ways, for example, as 149719696 + 264680361 = 12236^2 + 16269^2 .

It is a cyclic number.

It is not a de Polignac number, because 414400057 - 2¹⁹ = 413875769 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (414400757) 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, 3909382 + ... + 3909487.

It is an arithmetic number, because the mean of its divisors is an integer number (105554745).

Almost surely, 2^414400057 is an apocalyptic number.

It is an amenable number.

414400057 is a deficient number, since it is larger than the sum of its proper divisors (7818923).

414400057 is an equidigital number, since it uses as much as digits as its factorization.

414400057 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7818922.

The product of its (nonzero) digits is 2240, while the sum is 25.

The square root of 414400057 is about 20356.8184400215. The cubic root of 414400057 is about 745.5439817824.

The spelling of 414400057 in words is "four hundred fourteen million, four hundred thousand, fifty-seven".