5302338800 has 120 divisors (see below), whose sum is σ = 14065349760. Its totient is φ = 1904761600.

The previous prime is 5302338779. The next prime is 5302338803. The reversal of 5302338800 is 88332035.

It is a super-2 number, since 2×5302338800² = 56229593499970880000, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5302338803) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 357941 + ... + 372459.

It is an arithmetic number, because the mean of its divisors is an integer number (117211248).

Almost surely, 2^5302338800 is an apocalyptic number.

5302338800 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 5302338800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7032674880).

5302338800 is an abundant number, since it is smaller than the sum of its proper divisors (8763010960).

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

5302338800 is a wasteful number, since it uses less digits than its factorization.

5302338800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14631 (or 14620 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 32.

The square root of 5302338800 is about 72817.1600654681. The cubic root of 5302338800 is about 1743.7698245028.

The spelling of 5302338800 in words is "five billion, three hundred two million, three hundred thirty-eight thousand, eight hundred".