6494400 has 252 divisors, whose sum is σ = 25795224. Its totient is φ = 1536000.

The previous prime is 6494393. The next prime is 6494417. The reversal of 6494400 is 44946.

It is a nialpdrome in base 15.

It is a zygodrome in base 2 and base 15.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 158380 + ... + 158420.

It is an arithmetic number, because the mean of its divisors is an integer number (102362).

Almost surely, 2^6494400 is an apocalyptic number.

6494400 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 6494400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12897612).

6494400 is an abundant number, since it is smaller than the sum of its proper divisors (19300824).

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

6494400 is a wasteful number, since it uses less digits than its factorization.

6494400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 80 (or 62 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 6494400 is about 2548.4112697914. The cubic root of 6494400 is about 186.5719474101.

The spelling of 6494400 in words is "six million, four hundred ninety-four thousand, four hundred".