48239206400 has 1008 divisors, whose sum is σ = 166744863360. Its totient is φ = 13624934400.

The previous prime is 48239206391. The next prime is 48239206403. The reversal of 48239206400 is 460293284.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (38).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (48239206403) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 2097356789 + ... + 2097356811.

Almost surely, 2^48239206400 is an apocalyptic number.

48239206400 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 48239206400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83372431680).

48239206400 is an abundant number, since it is smaller than the sum of its proper divisors (118505656960).

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

48239206400 is a wasteful number, since it uses less digits than its factorization.

48239206400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 103 (or 67 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 38.

Adding to 48239206400 its reverse (460293284), we get a palindrome (48699499684).

The spelling of 48239206400 in words is "forty-eight billion, two hundred thirty-nine million, two hundred six thousand, four hundred".