5439008400 has 480 divisors, whose sum is σ = 21388631040. Its totient is φ = 1153751040.

The previous prime is 5439008389. The next prime is 5439008429. The reversal of 5439008400 is 48009345.

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, 8458479 + ... + 8459121.

It is an arithmetic number, because the mean of its divisors is an integer number (44559648).

Almost surely, 2^5439008400 is an apocalyptic number.

5439008400 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 5439008400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10694315520).

5439008400 is an abundant number, since it is smaller than the sum of its proper divisors (15949622640).

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

5439008400 is a wasteful number, since it uses less digits than its factorization.

5439008400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 743 (or 732 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 33.

The square root of 5439008400 is about 73749.6332194269. The cubic root of 5439008400 is about 1758.6250021663.

The spelling of 5439008400 in words is "five billion, four hundred thirty-nine million, eight thousand, four hundred".