4466145600 has 588 divisors, whose sum is σ = 18864970144. Its totient is φ = 1018967040.

The previous prime is 4466145587. The next prime is 4466145601. The reversal of 4466145600 is 65416644.

4466145600 is a `hidden beast` number, since 4 + 4 + 6 + 6 + 1 + 45 + 600 = 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 (4466145601) by changing a digit.

It is a polite number, since it can be written in 83 ways as a sum of consecutive naturals, for example, 8164527 + ... + 8165073.

Almost surely, 2^4466145600 is an apocalyptic number.

4466145600 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 4466145600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9432485072).

4466145600 is an abundant number, since it is smaller than the sum of its proper divisors (14398824544).

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

4466145600 is an equidigital number, since it uses as much as digits as its factorization.

4466145600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 594 (or 564 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The square root of 4466145600 is about 66829.2271390295. The cubic root of 4466145600 is about 1646.8130218626.

The spelling of 4466145600 in words is "four billion, four hundred sixty-six million, one hundred forty-five thousand, six hundred".