48638400 has 84 divisors (see below), whose sum is σ = 159590232. Its totient is φ = 12968960.

The previous prime is 48638389. The next prime is 48638437. The reversal of 48638400 is 483684.

It is a Smith number, since the sum of its digits (33) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 267 + ... + 9866.

Almost surely, 2^48638400 is an apocalyptic number.

48638400 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 48638400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79795116).

48638400 is an abundant number, since it is smaller than the sum of its proper divisors (110951832).

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

48638400 is a wasteful number, since it uses less digits than its factorization.

48638400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10158 (or 10143 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 33.

The square root of 48638400 is about 6974.1236008548. The cubic root of 48638400 is about 365.0282082409.

It can be divided in two parts, 486 and 38400, that multiplied together give a square (18662400 = 4320²).

The spelling of 48638400 in words is "forty-eight million, six hundred thirty-eight thousand, four hundred".