6046400 has 42 divisors (see below), whose sum is σ = 14881860. Its totient is φ = 2417920.

The previous prime is 6046387. The next prime is 6046451. The reversal of 6046400 is 46406.

It is a Harshad number since it is a multiple of its sum of digits (20).

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, 290 + ... + 3489.

It is an arithmetic number, because the mean of its divisors is an integer number (354330).

Almost surely, 2^6046400 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 6046400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7440930).

6046400 is an abundant number, since it is smaller than the sum of its proper divisors (8835460).

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

6046400 is a wasteful number, since it uses less digits than its factorization.

6046400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3801 (or 3786 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

The square root of 6046400 is about 2458.9428622886. The cubic root of 6046400 is about 182.1792702872.

It can be divided in two parts, 6046 and 400, that added together give a palindrome (6446).

The spelling of 6046400 in words is "six million, forty-six thousand, four hundred".