400414213 has 6 divisors (see below), whose sum is σ = 403217106. Its totient is φ = 397614672.

The previous prime is 400414211. The next prime is 400414247. The reversal of 400414213 is 312414004.

It can be written as a sum of positive squares in 3 ways, for example, as 494209 + 399920004 = 703^2 + 19998^2 .

It is not a de Polignac number, because 400414213 - 2¹ = 400414211 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (400414211) 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 5 ways as a sum of consecutive naturals, for example, 249931 + ... + 251527.

It is an arithmetic number, because the mean of its divisors is an integer number (67202851).

Almost surely, 2^400414213 is an apocalyptic number.

It is an amenable number.

400414213 is a deficient number, since it is larger than the sum of its proper divisors (2802893).

400414213 is an frugal number, since it uses more digits than its factorization.

400414213 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3351 (or 1754 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 19.

The square root of 400414213 is about 20010.3526455682. The cubic root of 400414213 is about 737.0605409464.

Adding to 400414213 its reverse (312414004), we get a palindrome (712828217).

The spelling of 400414213 in words is "four hundred million, four hundred fourteen thousand, two hundred thirteen".