48759600 has 120 divisors (see below), whose sum is σ = 157757760. Its totient is φ = 12872960.

The previous prime is 48759589. The next prime is 48759617. The reversal of 48759600 is 695784.

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

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, 214687 + ... + 214913.

It is an arithmetic number, because the mean of its divisors is an integer number (1314648).

Almost surely, 2^48759600 is an apocalyptic number.

48759600 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 48759600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78878880).

48759600 is an abundant number, since it is smaller than the sum of its proper divisors (108998160).

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

48759600 is a wasteful number, since it uses less digits than its factorization.

48759600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 427 (or 416 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 39.

The square root of 48759600 is about 6982.8074583222. The cubic root of 48759600 is about 365.3311562672.

The spelling of 48759600 in words is "forty-eight million, seven hundred fifty-nine thousand, six hundred".