5476838400 has 396 divisors, whose sum is σ = 21402269304. Its totient is φ = 1327104000.

The previous prime is 5476838377. The next prime is 5476838501. The reversal of 5476838400 is 48386745.

5476838400 is a `hidden beast` number, since 547 + 68 + 3 + 8 + 40 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (396).

It is a Harshad number since it is a multiple of its sum of digits (45).

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 35 ways as a sum of consecutive naturals, for example, 2533320 + ... + 2535480.

Almost surely, 2^5476838400 is an apocalyptic number.

5476838400 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 5476838400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10701134652).

5476838400 is an abundant number, since it is smaller than the sum of its proper divisors (15925430904).

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

5476838400 is a wasteful number, since it uses less digits than its factorization.

5476838400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2208 (or 2182 counting only the distinct ones).

The product of its (nonzero) digits is 645120, while the sum is 45.

The square root of 5476838400 is about 74005.6646480524. The cubic root of 5476838400 is about 1762.6928474664.

The spelling of 5476838400 in words is "five billion, four hundred seventy-six million, eight hundred thirty-eight thousand, four hundred".