4809830400 has 468 divisors, whose sum is σ = 18300594312. Its totient is φ = 1203240960.

The previous prime is 4809830369. The next prime is 4809830407. The reversal of 4809830400 is 40389084.

It is a super-3 number, since 3×4809830400³ (a number of 30 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (4809830407) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 15667047 + ... + 15667353.

It is an arithmetic number, because the mean of its divisors is an integer number (39103834).

Almost surely, 2^4809830400 is an apocalyptic number.

4809830400 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 4809830400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9150297156).

4809830400 is an abundant number, since it is smaller than the sum of its proper divisors (13490763912).

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

4809830400 is a wasteful number, since it uses less digits than its factorization.

4809830400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 364 (or 334 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 4809830400 is about 69352.9408172429. The cubic root of 4809830400 is about 1688.0161120929.

The spelling of 4809830400 in words is "four billion, eight hundred nine million, eight hundred thirty thousand, four hundred".