408414340 has 24 divisors (see below), whose sum is σ = 860778072. Its totient is φ = 162773760.

The previous prime is 408414323. The next prime is 408414353. The reversal of 408414340 is 43414804.

It can be written as a sum of positive squares in 4 ways, for example, as 51076 + 408363264 = 226^2 + 20208^2 .

It is a junction number, because it is equal to n+sod(n) for n = 408414299 and 408414308.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 31321 + ... + 42400.

It is an arithmetic number, because the mean of its divisors is an integer number (35865753).

Almost surely, 2^408414340 is an apocalyptic number.

It is an amenable number.

408414340 is an abundant number, since it is smaller than the sum of its proper divisors (452363732).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

408414340 is a wasteful number, since it uses less digits than its factorization.

408414340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 74007 (or 74005 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 28.

The square root of 408414340 is about 20209.2637174143. The cubic root of 408414340 is about 741.9369393012.

The spelling of 408414340 in words is "four hundred eight million, four hundred fourteen thousand, three hundred forty".