5448758400 has 576 divisors, whose sum is σ = 21309350400. Its totient is φ = 1319731200.

The previous prime is 5448758387. The next prime is 5448758429. The reversal of 5448758400 is 48578445.

It is a tau number, because it is divible by the number of its divisors (576).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 15177421 + ... + 15177779.

It is an arithmetic number, because the mean of its divisors is an integer number (36995400).

Almost surely, 2^5448758400 is an apocalyptic number.

5448758400 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 5448758400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10654675200).

5448758400 is an abundant number, since it is smaller than the sum of its proper divisors (15860592000).

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

5448758400 is a wasteful number, since it uses less digits than its factorization.

5448758400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 437 (or 417 counting only the distinct ones).

The product of its (nonzero) digits is 716800, while the sum is 45.

The square root of 5448758400 is about 73815.7056458854. The cubic root of 5448758400 is about 1759.6752155512.

The spelling of 5448758400 in words is "five billion, four hundred forty-eight million, seven hundred fifty-eight thousand, four hundred".