48427600 has 120 divisors (see below), whose sum is σ = 128082080. Its totient is φ = 17487360.

The previous prime is 48427597. The next prime is 48427649. The reversal of 48427600 is 672484.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 348331 + ... + 348469.

Almost surely, 2^48427600 is an apocalyptic number.

48427600 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 48427600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64041040).

48427600 is an abundant number, since it is smaller than the sum of its proper divisors (79654480).

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

48427600 is a wasteful number, since it uses less digits than its factorization.

48427600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 237 (or 226 counting only the distinct ones).

The product of its (nonzero) digits is 10752, while the sum is 31.

The square root of 48427600 is about 6958.9941801959. The cubic root of 48427600 is about 364.5000975335.

The spelling of 48427600 in words is "forty-eight million, four hundred twenty-seven thousand, six hundred".