48979200 has 108 divisors (see below), whose sum is σ = 161704928. Its totient is φ = 13056000.

The previous prime is 48979171. The next prime is 48979223. The reversal of 48979200 is 297984.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 17925 + ... + 20475.

Almost surely, 2^48979200 is an apocalyptic number.

48979200 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 48979200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80852464).

48979200 is an abundant number, since it is smaller than the sum of its proper divisors (112725728).

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

48979200 is a wasteful number, since it uses less digits than its factorization.

48979200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2580 (or 2561 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 39.

The square root of 48979200 is about 6998.5141280132. The cubic root of 48979200 is about 365.8787857430.

The spelling of 48979200 in words is "forty-eight million, nine hundred seventy-nine thousand, two hundred".