400814409 has 8 divisors (see below), whose sum is σ = 534792832. Its totient is φ = 267022800.

The previous prime is 400814371. The next prime is 400814419. The reversal of 400814409 is 904418004.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 400814409 - 2⁸ = 400814153 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (400814419) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 41617 + ... + 50334.

It is an arithmetic number, because the mean of its divisors is an integer number (66849104).

Almost surely, 2^400814409 is an apocalyptic number.

It is an amenable number.

400814409 is a deficient number, since it is larger than the sum of its proper divisors (133978423).

400814409 is a wasteful number, since it uses less digits than its factorization.

400814409 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 93407.

The product of its (nonzero) digits is 4608, while the sum is 30.

The square root of 400814409 is about 20020.3498720677. The cubic root of 400814409 is about 737.3060121409.

The spelling of 400814409 in words is "four hundred million, eight hundred fourteen thousand, four hundred nine".