6481400 has 48 divisors (see below), whose sum is σ = 15735600. Its totient is φ = 2478080.

The previous prime is 6481393. The next prime is 6481417. The reversal of 6481400 is 41846.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (23).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3896 + ... + 5304.

It is an arithmetic number, because the mean of its divisors is an integer number (327825).

Almost surely, 2^6481400 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 6481400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7867800).

6481400 is an abundant number, since it is smaller than the sum of its proper divisors (9254200).

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

6481400 is a wasteful number, since it uses less digits than its factorization.

6481400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1448 (or 1439 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 23.

The square root of 6481400 is about 2545.8593833910. The cubic root of 6481400 is about 186.4473757037.

It can be divided in two parts, 648 and 1400, that added together give a 11-th power (2048 = 2¹¹).

The spelling of 6481400 in words is "six million, four hundred eighty-one thousand, four hundred".