8414406390 has 32 divisors (see below), whose sum is σ = 21748005216. Its totient is φ = 2071238400.

The previous prime is 8414406379. The next prime is 8414406397. The reversal of 8414406390 is 936044148.

It is a happy number.

It is a super-3 number, since 3×8414406390³ (a number of 31 digits) contains 333 as substring.

It is a Smith number, since the sum of its digits (39) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8414406397) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10787311 + ... + 10788090.

It is an arithmetic number, because the mean of its divisors is an integer number (679625163).

Almost surely, 2^8414406390 is an apocalyptic number.

8414406390 is an abundant number, since it is smaller than the sum of its proper divisors (13333598826).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

8414406390 is a wasteful number, since it uses less digits than its factorization.

8414406390 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21575424.

The product of its (nonzero) digits is 82944, while the sum is 39.

The square root of 8414406390 is about 91730.0735309855. The cubic root of 8414406390 is about 2033.9541611982.

The spelling of 8414406390 in words is "eight billion, four hundred fourteen million, four hundred six thousand, three hundred ninety".