47982464400 has 240 divisors, whose sum is σ = 166036567424. Its totient is φ = 11774730240.

The previous prime is 47982464389. The next prime is 47982464437. The reversal of 47982464400 is 446428974.

It is a Cunningham number, because it is equal to 219049²-1.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 47982464400.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5252637 + ... + 5261763.

Almost surely, 2^47982464400 is an apocalyptic number.

47982464400 is a gapful number since it is divisible by the number (40) 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 47982464400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83018283712).

47982464400 is an abundant number, since it is smaller than the sum of its proper divisors (118054103024).

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

47982464400 is a wasteful number, since it uses less digits than its factorization.

47982464400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9498 (or 9487 counting only the distinct ones).

The product of its (nonzero) digits is 1548288, while the sum is 48.

The spelling of 47982464400 in words is "forty-seven billion, nine hundred eighty-two million, four hundred sixty-four thousand, four hundred".