4606899600 has 480 divisors, whose sum is σ = 16453550080. Its totient is φ = 1097349120.

The previous prime is 4606899527. The next prime is 4606899607. The reversal of 4606899600 is 69986064.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 4606899600.

It is not an unprimeable number, because it can be changed into a prime (4606899607) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 36274737 + ... + 36274863.

Almost surely, 2^4606899600 is an apocalyptic number.

4606899600 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 4606899600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8226775040).

4606899600 is an abundant number, since it is smaller than the sum of its proper divisors (11846650480).

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

4606899600 is a wasteful number, since it uses less digits than its factorization.

4606899600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 247 (or 236 counting only the distinct ones).

The product of its (nonzero) digits is 559872, while the sum is 48.

The square root of 4606899600 is about 67874.1452984861. The cubic root of 4606899600 is about 1663.9345870027.

The spelling of 4606899600 in words is "four billion, six hundred six million, eight hundred ninety-nine thousand, six hundred".