4466001600 has 252 divisors, whose sum is σ = 15930393336. Its totient is φ = 1186652160.

The previous prime is 4466001587. The next prime is 4466001611. The reversal of 4466001600 is 61006644.

4466001600 is a `hidden beast` number, since 4 + 46 + 600 + 16 + 0 + 0 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 7530904 + ... + 7531496.

Almost surely, 2^4466001600 is an apocalyptic number.

4466001600 is a gapful number since it is divisible by the number (40) 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 4466001600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7965196668).

4466001600 is an abundant number, since it is smaller than the sum of its proper divisors (11464391736).

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

4466001600 is a wasteful number, since it uses less digits than its factorization.

4466001600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1144 (or 1126 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 4466001600 is about 66828.1497574188. The cubic root of 4466001600 is about 1646.7953225125.

The spelling of 4466001600 in words is "four billion, four hundred sixty-six million, one thousand, six hundred".