4842790400 has 120 divisors (see below), whose sum is σ = 13712701200. Its totient is φ = 1660354560.

The previous prime is 4842790397. The next prime is 4842790411. The reversal of 4842790400 is 40972484.

It is a super-3 number, since 3×4842790400³ (a number of 30 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 62576 + ... + 116624.

It is an arithmetic number, because the mean of its divisors is an integer number (114272510).

Almost surely, 2^4842790400 is an apocalyptic number.

4842790400 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 4842790400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6856350600).

4842790400 is an abundant number, since it is smaller than the sum of its proper divisors (8869910800).

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

4842790400 is an equidigital number, since it uses as much as digits as its factorization.

4842790400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 54084 (or 54063 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 38.

The square root of 4842790400 is about 69590.1602239857. The cubic root of 4842790400 is about 1691.8631227216.

The spelling of 4842790400 in words is "four billion, eight hundred forty-two million, seven hundred ninety thousand, four hundred".