400312413 has 48 divisors (see below), whose sum is σ = 636045696. Its totient is φ = 241597440.

The previous prime is 400312313. The next prime is 400312421. The reversal of 400312413 is 314213004.

It is not a de Polignac number, because 400312413 - 2¹⁸ = 400050269 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (400312013) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 466681 + ... + 467537.

It is an arithmetic number, because the mean of its divisors is an integer number (13250952).

Almost surely, 2^400312413 is an apocalyptic number.

400312413 is a gapful number since it is divisible by the number (43) formed by its first and last digit.

It is an amenable number.

400312413 is a deficient number, since it is larger than the sum of its proper divisors (235733283).

400312413 is a wasteful number, since it uses less digits than its factorization.

400312413 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 994 (or 991 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 400312413 is about 20007.8088005658. The cubic root of 400312413 is about 736.9980730318.

Adding to 400312413 its reverse (314213004), we get a palindrome (714525417).

The spelling of 400312413 in words is "four hundred million, three hundred twelve thousand, four hundred thirteen".