618446304 has 288 divisors, whose sum is σ = 2105865216. Its totient is φ = 168514560.

The previous prime is 618446303. The next prime is 618446329. The reversal of 618446304 is 403644816.

618446304 is a `hidden beast` number, since 6 + 18 + 4 + 4 + 630 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

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 (618446303) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5779819 + ... + 5779925.

It is an arithmetic number, because the mean of its divisors is an integer number (7312032).

Almost surely, 2^618446304 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 618446304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1052932608).

618446304 is an abundant number, since it is smaller than the sum of its proper divisors (1487418912).

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

618446304 is a wasteful number, since it uses less digits than its factorization.

618446304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 238 (or 227 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 36.

The square root of 618446304 is about 24868.5806591369. The cubic root of 618446304 is about 851.9890232005.

The spelling of 618446304 in words is "six hundred eighteen million, four hundred forty-six thousand, three hundred four".