5225438400 has 504 divisors, whose sum is σ = 21489405840. Its totient is φ = 1101864960.

The previous prime is 5225438353. The next prime is 5225438419. The reversal of 5225438400 is 48345225.

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, 3056746 + ... + 3058454.

It is an arithmetic number, because the mean of its divisors is an integer number (42637710).

Almost surely, 2^5225438400 is an apocalyptic number.

5225438400 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 5225438400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10744702920).

5225438400 is an abundant number, since it is smaller than the sum of its proper divisors (16263967440).

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

5225438400 is a wasteful number, since it uses less digits than its factorization.

5225438400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1761 (or 1739 counting only the distinct ones).

The product of its (nonzero) digits is 38400, while the sum is 33.

The square root of 5225438400 is about 72287.1938866076. The cubic root of 5225438400 is about 1735.2987108428.

The spelling of 5225438400 in words is "five billion, two hundred twenty-five million, four hundred thirty-eight thousand, four hundred".