48931200 has 144 divisors (see below), whose sum is σ = 174700500. Its totient is φ = 13040640.

The previous prime is 48931199. The next prime is 48931241. The reversal of 48931200 is 213984.

It is a tau number, because it is divible by the number of its divisors (144).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 27951 + ... + 29649.

Almost surely, 2^48931200 is an apocalyptic number.

48931200 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 48931200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87350250).

48931200 is an abundant number, since it is smaller than the sum of its proper divisors (125769300).

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

48931200 is a wasteful number, since it uses less digits than its factorization.

48931200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1729 (or 1709 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 48931200 is about 6995.0839880590. The cubic root of 48931200 is about 365.7592253183.

The spelling of 48931200 in words is "forty-eight million, nine hundred thirty-one thousand, two hundred".