47982400 has 42 divisors (see below), whose sum is σ = 118070630. Its totient is φ = 19192320.

The previous prime is 47982379. The next prime is 47982401. The reversal of 47982400 is 428974.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 9144576 + 38837824 = 3024^2 + 6232^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (47982401) 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 5 ways as a sum of consecutive naturals, for example, 13395 + ... + 16594.

Almost surely, 2^47982400 is an apocalyptic number.

47982400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

47982400 is an abundant number, since it is smaller than the sum of its proper divisors (70088230).

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

47982400 is a wasteful number, since it uses less digits than its factorization.

47982400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30011 (or 29996 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 34.

The square root of 47982400 is about 6926.9329432296. The cubic root of 47982400 is about 363.3796946330.

The spelling of 47982400 in words is "forty-seven million, nine hundred eighty-two thousand, four hundred".