48322400 has 72 divisors (see below), whose sum is σ = 134835120. Its totient is φ = 16565760.

The previous prime is 48322399. The next prime is 48322409. The reversal of 48322400 is 422384.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (48322409) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1286 + ... + 9914.

It is an arithmetic number, because the mean of its divisors is an integer number (1872710).

Almost surely, 2^48322400 is an apocalyptic number.

48322400 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 48322400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67417560).

48322400 is an abundant number, since it is smaller than the sum of its proper divisors (86512720).

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

48322400 is a wasteful number, since it uses less digits than its factorization.

48322400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8656 (or 8643 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 23.

The square root of 48322400 is about 6951.4315072509. The cubic root of 48322400 is about 364.2359698466.

Adding to 48322400 its reverse (422384), we get a palindrome (48744784).

The spelling of 48322400 in words is "forty-eight million, three hundred twenty-two thousand, four hundred".