414400008 has 64 divisors (see below), whose sum is σ = 1135411200. Its totient is φ = 124994880.

The previous prime is 414400001. The next prime is 414400009. The reversal of 414400008 is 800004414.

It is not an unprimeable number, because it can be changed into a prime (414400001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 55353 + ... + 62391.

It is an arithmetic number, because the mean of its divisors is an integer number (17740800).

Almost surely, 2^414400008 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 414400008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (567705600).

414400008 is an abundant number, since it is smaller than the sum of its proper divisors (721011192).

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

414400008 is a wasteful number, since it uses less digits than its factorization.

414400008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7282 (or 7278 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 21.

The square root of 414400008 is about 20356.8172364935. The cubic root of 414400008 is about 745.5439523972.

The spelling of 414400008 in words is "four hundred fourteen million, four hundred thousand, eight".