4600506000 has 640 divisors, whose sum is σ = 17147759616. Its totient is φ = 1054310400.

The previous prime is 4600505951. The next prime is 4600506041. The reversal of 4600506000 is 6050064.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 86801974 + ... + 86802026.

Almost surely, 2^4600506000 is an apocalyptic number.

4600506000 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 4600506000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8573879808).

4600506000 is an abundant number, since it is smaller than the sum of its proper divisors (12547253616).

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

4600506000 is a wasteful number, since it uses less digits than its factorization.

4600506000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 156 (or 140 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 21.

The square root of 4600506000 is about 67827.0300101663. The cubic root of 4600506000 is about 1663.1644770666.

Adding to 4600506000 its reverse (6050064), we get a palindrome (4606556064).

The spelling of 4600506000 in words is "four billion, six hundred million, five hundred six thousand".