400368627 has 24 divisors (see below), whose sum is σ = 628392960. Its totient is φ = 244704240.

The previous prime is 400368611. The next prime is 400368637. The reversal of 400368627 is 726863004.

It is not a de Polignac number, because 400368627 - 2⁴ = 400368611 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 400368591 and 400368600.

It is not an unprimeable number, because it can be changed into a prime (400368637) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 32463 + ... + 43064.

It is an arithmetic number, because the mean of its divisors is an integer number (26183040).

Almost surely, 2^400368627 is an apocalyptic number.

400368627 is a deficient number, since it is larger than the sum of its proper divisors (228024333).

400368627 is a wasteful number, since it uses less digits than its factorization.

400368627 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 75583 (or 75580 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The square root of 400368627 is about 20009.2135527611. The cubic root of 400368627 is about 737.0325691480.

The spelling of 400368627 in words is "four hundred million, three hundred sixty-eight thousand, six hundred twenty-seven".