6146400 has 144 divisors (see below), whose sum is σ = 21654864. Its totient is φ = 1505280.

The previous prime is 6146369. The next prime is 6146407. The reversal of 6146400 is 46416.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6146407) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 31102 + ... + 31298.

It is an arithmetic number, because the mean of its divisors is an integer number (150381).

Almost surely, 2^6146400 is an apocalyptic number.

6146400 is a gapful number since it is divisible by the number (60) 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 6146400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10827432).

6146400 is an abundant number, since it is smaller than the sum of its proper divisors (15508464).

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

6146400 is a wasteful number, since it uses less digits than its factorization.

6146400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 233 (or 220 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

The square root of 6146400 is about 2479.1934172226. The cubic root of 6146400 is about 183.1781239174.

The spelling of 6146400 in words is "six million, one hundred forty-six thousand, four hundred".