4606073000 has 96 divisors (see below), whose sum is σ = 11139434280. Its totient is φ = 1782624000.

The previous prime is 4606072993. The next prime is 4606073009. The reversal of 4606073000 is 3706064.

It can be written as a sum of positive squares in 4 ways, for example, as 2261382916 + 2344690084 = 47554^2 + 48422^2 .

It is not an unprimeable number, because it can be changed into a prime (4606073009) 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, 958604 + ... + 963396.

Almost surely, 2^4606073000 is an apocalyptic number.

4606073000 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 4606073000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5569717140).

4606073000 is an abundant number, since it is smaller than the sum of its proper divisors (6533361280).

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

4606073000 is a wasteful number, since it uses less digits than its factorization.

4606073000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4876 (or 4831 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 26.

The square root of 4606073000 is about 67868.0558142047. The cubic root of 4606073000 is about 1663.8350630481.

Adding to 4606073000 its reverse (3706064), we get a palindrome (4609779064).

The spelling of 4606073000 in words is "four billion, six hundred six million, seventy-three thousand".