418225008 has 80 divisors (see below), whose sum is σ = 1166353920. Its totient is φ = 128739072.

The previous prime is 418225001. The next prime is 418225019. The reversal of 418225008 is 800522814.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (418225001) 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, 25485 + ... + 38547.

It is an arithmetic number, because the mean of its divisors is an integer number (14579424).

Almost surely, 2^418225008 is an apocalyptic number.

418225008 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 418225008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (583176960).

418225008 is an abundant number, since it is smaller than the sum of its proper divisors (748128912).

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

418225008 is a wasteful number, since it uses less digits than its factorization.

418225008 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13126 (or 13120 counting only the distinct ones).

The product of its (nonzero) digits is 5120, while the sum is 30.

The square root of 418225008 is about 20450.5503104440. The cubic root of 418225008 is about 747.8307737700.

The spelling of 418225008 in words is "four hundred eighteen million, two hundred twenty-five thousand, eight".