6455328400 has 240 divisors, whose sum is σ = 17164044288. Its totient is φ = 2322432000.

The previous prime is 6455328389. The next prime is 6455328409. The reversal of 6455328400 is 48235546.

It is a self number, because there is not a number n which added to its sum of digits gives 6455328400.

It is not an unprimeable number, because it can be changed into a prime (6455328409) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 23820265 + ... + 23820535.

Almost surely, 2^6455328400 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 6455328400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8582022144).

6455328400 is an abundant number, since it is smaller than the sum of its proper divisors (10708715888).

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

6455328400 is a wasteful number, since it uses less digits than its factorization.

6455328400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 450 (or 439 counting only the distinct ones).

The product of its (nonzero) digits is 115200, while the sum is 37.

The square root of 6455328400 is about 80345.0583421283. The cubic root of 6455328400 is about 1861.9704327487.

The spelling of 6455328400 in words is "six billion, four hundred fifty-five million, three hundred twenty-eight thousand, four hundred".