48682400 has 144 divisors (see below), whose sum is σ = 132991488. Its totient is φ = 17280000.

The previous prime is 48682399. The next prime is 48682411. The reversal of 48682400 is 428684.

48682400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (32).

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 23 ways as a sum of consecutive naturals, for example, 322325 + ... + 322475.

It is an arithmetic number, because the mean of its divisors is an integer number (923552).

Almost surely, 2^48682400 is an apocalyptic number.

48682400 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 48682400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66495744).

48682400 is an abundant number, since it is smaller than the sum of its proper divisors (84309088).

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

48682400 is a wasteful number, since it uses less digits than its factorization.

48682400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 215 (or 202 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 32.

The square root of 48682400 is about 6977.2774059801. The cubic root of 48682400 is about 365.1382474994.

The spelling of 48682400 in words is "forty-eight million, six hundred eighty-two thousand, four hundred".