400364217 has 24 divisors (see below), whose sum is σ = 634390848. Its totient is φ = 241293600.

The previous prime is 400364207. The next prime is 400364249. The reversal of 400364217 is 712463004.

400364217 is a `hidden beast` number, since 4 + 0 + 0 + 3 + 642 + 17 = 666.

It is not a de Polignac number, because 400364217 - 2¹¹ = 400362169 is a prime.

It is not an unprimeable number, because it can be changed into a prime (400364207) 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 23 ways as a sum of consecutive naturals, for example, 6748 + ... + 29090.

It is an arithmetic number, because the mean of its divisors is an integer number (26432952).

Almost surely, 2^400364217 is an apocalyptic number.

It is an amenable number.

400364217 is a deficient number, since it is larger than the sum of its proper divisors (234026631).

400364217 is a wasteful number, since it uses less digits than its factorization.

400364217 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22541 (or 22538 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 27.

The square root of 400364217 is about 20009.1033532240. The cubic root of 400364217 is about 737.0298630372.

It can be divided in two parts, 40036 and 4217, that added together give a triangular number (44253 = T₂₉₇).

The spelling of 400364217 in words is "four hundred million, three hundred sixty-four thousand, two hundred seventeen".