6482390400 has 288 divisors, whose sum is σ = 23627728800. Its totient is φ = 1691504640.

The previous prime is 6482390393. The next prime is 6482390401. The reversal of 6482390400 is 40932846.

It is a happy number.

6482390400 is a `hidden beast` number, since 648 + 2 + 3 + 9 + 0 + 4 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6482390401) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1351206 + ... + 1355994.

It is an arithmetic number, because the mean of its divisors is an integer number (82040725).

Almost surely, 2^6482390400 is an apocalyptic number.

6482390400 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 6482390400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11813864400).

6482390400 is an abundant number, since it is smaller than the sum of its proper divisors (17145338400).

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

6482390400 is a wasteful number, since it uses less digits than its factorization.

6482390400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4866 (or 4846 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The square root of 6482390400 is about 80513.2933123469. The cubic root of 6482390400 is about 1864.5687200988.

The spelling of 6482390400 in words is "six billion, four hundred eighty-two million, three hundred ninety thousand, four hundred".