414100008 has 144 divisors (see below), whose sum is σ = 1362048480. Its totient is φ = 111315456.

The previous prime is 414099997. The next prime is 414100061. The reversal of 414100008 is 800001414.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

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 35 ways as a sum of consecutive naturals, for example, 144235 + ... + 147077.

It is an arithmetic number, because the mean of its divisors is an integer number (9458670).

Almost surely, 2^414100008 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 414100008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (681024240).

414100008 is an abundant number, since it is smaller than the sum of its proper divisors (947948472).

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

414100008 is a wasteful number, since it uses less digits than its factorization.

414100008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2896 (or 2872 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

The square root of 414100008 is about 20349.4473635035. The cubic root of 414100008 is about 745.3639997139.

The spelling of 414100008 in words is "four hundred fourteen million, one hundred thousand, eight".