418676328 has 192 divisors, whose sum is σ = 1354629120. Its totient is φ = 114307200.

The previous prime is 418676311. The next prime is 418676333. The reversal of 418676328 is 823676814.

418676328 is a `hidden beast` number, since 4 + 1 + 8 + 6 + 7 + 632 + 8 = 666.

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1984143 + ... + 1984353.

It is an arithmetic number, because the mean of its divisors is an integer number (7055360).

Almost surely, 2^418676328 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 418676328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (677314560).

418676328 is an abundant number, since it is smaller than the sum of its proper divisors (935952792).

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

418676328 is a wasteful number, since it uses less digits than its factorization.

418676328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 388 (or 381 counting only the distinct ones).

The product of its digits is 387072, while the sum is 45.

The square root of 418676328 is about 20461.5817570392. The cubic root of 418676328 is about 748.0996797774.

The spelling of 418676328 in words is "four hundred eighteen million, six hundred seventy-six thousand, three hundred twenty-eight".