5930400420 has 288 divisors, whose sum is σ = 21735221760. Its totient is φ = 1355030208.

The previous prime is 5930400401. The next prime is 5930400439. The reversal of 5930400420 is 240040395.

It is an interprime number because it is at equal distance from previous prime (5930400401) and next prime (5930400439).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2141877 + ... + 2144643.

It is an arithmetic number, because the mean of its divisors is an integer number (75469520).

Almost surely, 2^5930400420 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5930400420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10867610880).

5930400420 is an abundant number, since it is smaller than the sum of its proper divisors (15804821340).

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

5930400420 is a wasteful number, since it uses less digits than its factorization.

5930400420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2811 (or 2784 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The square root of 5930400420 is about 77009.0930994516. The cubic root of 5930400420 is about 1810.0670915171.

The spelling of 5930400420 in words is "five billion, nine hundred thirty million, four hundred thousand, four hundred twenty".