414056385 has 12 divisors (see below), whose sum is σ = 717697812. Its totient is φ = 220830048.

The previous prime is 414056359. The next prime is 414056389. The reversal of 414056385 is 583650414.

It is a happy number.

414056385 is a `hidden beast` number, since 4 + 14 + 0 + 5 + 638 + 5 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 259725456 + 154330929 = 16116^2 + 12423^2 .

It is not a de Polignac number, because 414056385 - 2⁸ = 414056129 is a prime.

It is not an unprimeable number, because it can be changed into a prime (414056389) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4600582 + ... + 4600671.

It is an arithmetic number, because the mean of its divisors is an integer number (59808151).

Almost surely, 2^414056385 is an apocalyptic number.

414056385 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

414056385 is a deficient number, since it is larger than the sum of its proper divisors (303641427).

414056385 is a wasteful number, since it uses less digits than its factorization.

414056385 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9201264 (or 9201261 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 36.

The square root of 414056385 is about 20348.3754879843. The cubic root of 414056385 is about 745.3378255572.

The spelling of 414056385 in words is "four hundred fourteen million, fifty-six thousand, three hundred eighty-five".