6030400 has 42 divisors (see below), whose sum is σ = 14842490. Its totient is φ = 2411520.

The previous prime is 6030397. The next prime is 6030419. The reversal of 6030400 is 40306.

It can be written as a sum of positive squares in 3 ways, for example, as 1048576 + 4981824 = 1024^2 + 2232^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 285 + ... + 3484.

Almost surely, 2^6030400 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 6030400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7421245).

6030400 is an abundant number, since it is smaller than the sum of its proper divisors (8812090).

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

6030400 is a wasteful number, since it uses less digits than its factorization.

6030400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3791 (or 3776 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 13.

The square root of 6030400 is about 2455.6872765073. The cubic root of 6030400 is about 182.0184339095.

Adding to 6030400 its reverse (40306), we get a palindrome (6070706).

The spelling of 6030400 in words is "six million, thirty thousand, four hundred".