5456404800 has 1512 divisors, whose sum is σ = 26605931040. Its totient is φ = 1045094400.

The previous prime is 5456404721. The next prime is 5456404801. The reversal of 5456404800 is 84046545.

5456404800 is a `hidden beast` number, since 5 + 4 + 5 + 640 + 4 + 8 + 0 + 0 = 666.

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 (5456404801) 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 215 ways as a sum of consecutive naturals, for example, 147470382 + ... + 147470418.

Almost surely, 2^5456404800 is an apocalyptic number.

5456404800 is a gapful number since it is divisible by the number (50) 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 5456404800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13302965520).

5456404800 is an abundant number, since it is smaller than the sum of its proper divisors (21149526240).

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

5456404800 is a wasteful number, since it uses less digits than its factorization.

5456404800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 109 (or 84 counting only the distinct ones).

The product of its (nonzero) digits is 76800, while the sum is 36.

The square root of 5456404800 is about 73867.4813432812. The cubic root of 5456404800 is about 1760.4979651557.

The spelling of 5456404800 in words is "five billion, four hundred fifty-six million, four hundred four thousand, eight hundred".