48172800 has 216 divisors, whose sum is σ = 172096624. Its totient is φ = 11796480.

The previous prime is 48172783. The next prime is 48172807. The reversal of 48172800 is 827184.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (48172807) 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, 249504 + ... + 249696.

Almost surely, 2^48172800 is an apocalyptic number.

48172800 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 48172800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86048312).

48172800 is an abundant number, since it is smaller than the sum of its proper divisors (123923824).

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

48172800 is a wasteful number, since it uses less digits than its factorization.

48172800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 235 (or 216 counting only the distinct ones).

The product of its (nonzero) digits is 3584, while the sum is 30.

The square root of 48172800 is about 6940.6627925581. The cubic root of 48172800 is about 363.8597052221.

Adding to 48172800 its reverse (827184), we get a palindrome (48999984).

It can be divided in two parts, 48 and 172800, that multiplied together give a square (8294400 = 2880²).

The spelling of 48172800 in words is "forty-eight million, one hundred seventy-two thousand, eight hundred".