4800902400 has 864 divisors, whose sum is σ = 20783392000. Its totient is φ = 1097349120.

The previous prime is 4800902321. The next prime is 4800902497. The reversal of 4800902400 is 42090084.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It is a tau number, because it is divible by the number of its divisors (864).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 685843197 + ... + 685843203.

Almost surely, 2^4800902400 is an apocalyptic number.

4800902400 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 4800902400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10391696000).

4800902400 is an abundant number, since it is smaller than the sum of its proper divisors (15982489600).

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

4800902400 is an frugal number, since it uses more digits than its factorization.

4800902400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 68 (or 17 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 4800902400 is about 69288.5445077323. The cubic root of 4800902400 is about 1686.9710342071.

Adding to 4800902400 its reverse (42090084), we get a palindrome (4842992484).

The spelling of 4800902400 in words is "four billion, eight hundred million, nine hundred two thousand, four hundred".