48224400 has 120 divisors (see below), whose sum is σ = 176577984. Its totient is φ = 11020800.

The previous prime is 48224387. The next prime is 48224401. The reversal of 48224400 is 442284.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (48224401) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5530 + ... + 11270.

Almost surely, 2^48224400 is an apocalyptic number.

48224400 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 48224400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88288992).

48224400 is an abundant number, since it is smaller than the sum of its proper divisors (128353584).

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

48224400 is a wasteful number, since it uses less digits than its factorization.

48224400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5769 (or 5758 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 24.

The square root of 48224400 is about 6944.3790219141. The cubic root of 48224400 is about 363.9895742294.

Adding to 48224400 its reverse (442284), we get a palindrome (48666684).

The spelling of 48224400 in words is "forty-eight million, two hundred twenty-four thousand, four hundred".