400120413 has 32 divisors (see below), whose sum is σ = 667272192. Its totient is φ = 207187200.

The previous prime is 400120387. The next prime is 400120421. The reversal of 400120413 is 314021004.

It is not a de Polignac number, because 400120413 - 2¹⁰ = 400119389 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 400120392 and 400120401.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (400120423) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 73845 + ... + 79077.

It is an arithmetic number, because the mean of its divisors is an integer number (20852256).

Almost surely, 2^400120413 is an apocalyptic number.

It is an amenable number.

400120413 is a deficient number, since it is larger than the sum of its proper divisors (267151779).

400120413 is a wasteful number, since it uses less digits than its factorization.

400120413 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5585.

The product of its (nonzero) digits is 96, while the sum is 15.

The square root of 400120413 is about 20003.0100984827. The cubic root of 400120413 is about 736.8802265246.

Adding to 400120413 its reverse (314021004), we get a palindrome (714141417).

The spelling of 400120413 in words is "four hundred million, one hundred twenty thousand, four hundred thirteen".