48273254400 has 1152 divisors, whose sum is σ = 204736896000. Its totient is φ = 9767485440.

The previous prime is 48273254399. The next prime is 48273254401. The reversal of 48273254400 is 445237284.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (48273254399) and next prime (48273254401).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (48273254401) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 347289531 + ... + 347289669.

It is an arithmetic number, because the mean of its divisors is an integer number (177723000).

Almost surely, 2^48273254400 is an apocalyptic number.

48273254400 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 48273254400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102368448000).

48273254400 is an abundant number, since it is smaller than the sum of its proper divisors (156463641600).

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

48273254400 is a wasteful number, since it uses less digits than its factorization.

48273254400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 217 (or 192 counting only the distinct ones).

The product of its (nonzero) digits is 215040, while the sum is 39.

The spelling of 48273254400 in words is "forty-eight billion, two hundred seventy-three million, two hundred fifty-four thousand, four hundred".