418530816 has 240 divisors, whose sum is σ = 1378840320. Its totient is φ = 120975360.

The previous prime is 418530811. The next prime is 418530857. The reversal of 418530816 is 618035814.

418530816 is a `hidden beast` number, since 41 + 8 + 530 + 81 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (418530811) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1165645 + ... + 1166003.

It is an arithmetic number, because the mean of its divisors is an integer number (5745168).

Almost surely, 2^418530816 is an apocalyptic number.

418530816 is a gapful number since it is divisible by the number (46) 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 418530816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (689420160).

418530816 is an abundant number, since it is smaller than the sum of its proper divisors (960309504).

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

418530816 is a wasteful number, since it uses less digits than its factorization.

418530816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 417 (or 398 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 36.

The square root of 418530816 is about 20458.0257111971. The cubic root of 418530816 is about 748.0130017662.

The spelling of 418530816 in words is "four hundred eighteen million, five hundred thirty thousand, eight hundred sixteen".