6005423400 has 96 divisors (see below), whose sum is σ = 19711952640. Its totient is φ = 1507240960.

The previous prime is 6005423399. The next prime is 6005423401. The reversal of 6005423400 is 43245006.

It is an interprime number because it is at equal distance from previous prime (6005423399) and next prime (6005423401).

It is a super-2 number, since 2×6005423400² = 72130220426535120000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (6005423401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 284184 + ... + 304583.

It is an arithmetic number, because the mean of its divisors is an integer number (205332840).

Almost surely, 2^6005423400 is an apocalyptic number.

6005423400 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

6005423400 is an abundant number, since it is smaller than the sum of its proper divisors (13706529240).

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

6005423400 is a wasteful number, since it uses less digits than its factorization.

6005423400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 588803 (or 588794 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 24.

The square root of 6005423400 is about 77494.6669132786. Note that the first 3 decimals coincide. The cubic root of 6005423400 is about 1817.6679263883.

Adding to 6005423400 its reverse (43245006), we get a palindrome (6048668406).

The spelling of 6005423400 in words is "six billion, five million, four hundred twenty-three thousand, four hundred".