48986400 has 72 divisors (see below), whose sum is σ = 159458544. Its totient is φ = 13062400.

The previous prime is 48986369. The next prime is 48986407. The reversal of 48986400 is 468984.

48986400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (48986407) 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 11 ways as a sum of consecutive naturals, for example, 7806 + ... + 12605.

It is an arithmetic number, because the mean of its divisors is an integer number (2214702).

Almost surely, 2^48986400 is an apocalyptic number.

48986400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

48986400 is an abundant number, since it is smaller than the sum of its proper divisors (110472144).

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

48986400 is a wasteful number, since it uses less digits than its factorization.

48986400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20434 (or 20421 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 39.

The square root of 48986400 is about 6999.0285040140. The cubic root of 48986400 is about 365.8967130685.

The spelling of 48986400 in words is "forty-eight million, nine hundred eighty-six thousand, four hundred".