5448460800 has 480 divisors, whose sum is σ = 19484467200. Its totient is φ = 1338163200.

The previous prime is 5448460783. The next prime is 5448460817. The reversal of 5448460800 is 80648445.

It is an interprime number because it is at equal distance from previous prime (5448460783) and next prime (5448460817).

It is a tau number, because it is divible by the number of its divisors (480).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 27379101 + ... + 27379299.

It is an arithmetic number, because the mean of its divisors is an integer number (40592640).

Almost surely, 2^5448460800 is an apocalyptic number.

5448460800 is a gapful number since it is divisible by the number (50) 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 5448460800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9742233600).

5448460800 is an abundant number, since it is smaller than the sum of its proper divisors (14036006400).

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

5448460800 is a wasteful number, since it uses less digits than its factorization.

5448460800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 284 (or 263 counting only the distinct ones).

The product of its (nonzero) digits is 122880, while the sum is 39.

The square root of 5448460800 is about 73813.6897871933. The cubic root of 5448460800 is about 1759.6431783517.

The spelling of 5448460800 in words is "five billion, four hundred forty-eight million, four hundred sixty thousand, eight hundred".