5925430800 has 240 divisors, whose sum is σ = 21818544000. Its totient is φ = 1525547520.

The previous prime is 5925430789. The next prime is 5925430811. The reversal of 5925430800 is 80345295.

It is an interprime number because it is at equal distance from previous prime (5925430789) and next prime (5925430811).

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-2 number, since 2×5925430800² = 70221460331177280000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 303741 + ... + 322659.

It is an arithmetic number, because the mean of its divisors is an integer number (90910600).

Almost surely, 2^5925430800 is an apocalyptic number.

5925430800 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 5925430800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10909272000).

5925430800 is an abundant number, since it is smaller than the sum of its proper divisors (15893113200).

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

5925430800 is a wasteful number, since it uses less digits than its factorization.

5925430800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18975 (or 18958 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 36.

The square root of 5925430800 is about 76976.8198875480. The cubic root of 5925430800 is about 1809.5613437978.

The spelling of 5925430800 in words is "five billion, nine hundred twenty-five million, four hundred thirty thousand, eight hundred".