4880246400 has 288 divisors, whose sum is σ = 17842881420. Its totient is φ = 1269350400.

The previous prime is 4880246369. The next prime is 4880246401. The reversal of 4880246400 is 46420884.

4880246400 is a `hidden beast` number, since 4 + 8 + 8 + 0 + 2 + 4 + 640 + 0 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 1066936896 + 3813309504 = 32664^2 + 61752^2 .

It is a tau number, because it is divible by the number of its divisors (288).

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 (4880246401) 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, 1178734 + ... + 1182866.

Almost surely, 2^4880246400 is an apocalyptic number.

4880246400 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 4880246400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8921440710).

4880246400 is an abundant number, since it is smaller than the sum of its proper divisors (12962635020).

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

4880246400 is a wasteful number, since it uses less digits than its factorization.

4880246400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4204 (or 4184 counting only the distinct ones).

The product of its (nonzero) digits is 49152, while the sum is 36.

The square root of 4880246400 is about 69858.7603669003. The cubic root of 4880246400 is about 1696.2137650339.

The spelling of 4880246400 in words is "four billion, eight hundred eighty million, two hundred forty-six thousand, four hundred".