400314409 has 16 divisors (see below), whose sum is σ = 446711040. Its totient is φ = 355680000.

The previous prime is 400314403. The next prime is 400314413. The reversal of 400314409 is 904413004.

It is a happy number.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-400314409 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (400314403) 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, 85489 + ... + 90049.

It is an arithmetic number, because the mean of its divisors is an integer number (27919440).

Almost surely, 2^400314409 is an apocalyptic number.

It is an amenable number.

400314409 is a deficient number, since it is larger than the sum of its proper divisors (46396631).

400314409 is a wasteful number, since it uses less digits than its factorization.

400314409 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4752.

The product of its (nonzero) digits is 1728, while the sum is 25.

The square root of 400314409 is about 20007.8586810283. The cubic root of 400314409 is about 736.9992979465. Note that the first 3 decimals are identical.

The spelling of 400314409 in words is "four hundred million, three hundred fourteen thousand, four hundred nine".