4848480400 has 60 divisors (see below), whose sum is σ = 11666186352. Its totient is φ = 1936443520.

The previous prime is 4848480361. The next prime is 4848480487. The reversal of 4848480400 is 40848484.

4848480400 = 396² + 397² + ... + 2444².

It is a Harshad number since it is a multiple of its sum of digits (40).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 264327 + ... + 282073.

Almost surely, 2^4848480400 is an apocalyptic number.

4848480400 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 4848480400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5833093176).

4848480400 is an abundant number, since it is smaller than the sum of its proper divisors (6817705952).

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

4848480400 is a wasteful number, since it uses less digits than its factorization.

4848480400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18448 (or 18437 counting only the distinct ones).

The product of its (nonzero) digits is 131072, while the sum is 40.

The square root of 4848480400 is about 69631.0304390219. The cubic root of 4848480400 is about 1692.5254773119.

The spelling of 4848480400 in words is "four billion, eight hundred forty-eight million, four hundred eighty thousand, four hundred".