48531600 has 360 divisors, whose sum is σ = 195190632. Its totient is φ = 11059200.

The previous prime is 48531569. The next prime is 48531601. The reversal of 48531600 is 613584.

48531600 is a `hidden beast` number, since 4 + 8 + 53 + 1 + 600 = 666.

It can be written as a sum of positive squares in 12 ways, for example, as 29030544 + 19501056 = 5388^2 + 4416^2 .

It is a tau number, because it is divible by the number of its divisors (360).

It is not an unprimeable number, because it can be changed into a prime (48531601) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 795570 + ... + 795630.

Almost surely, 2^48531600 is an apocalyptic number.

48531600 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 48531600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97595316).

48531600 is an abundant number, since it is smaller than the sum of its proper divisors (146659032).

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

48531600 is a wasteful number, since it uses less digits than its factorization.

48531600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 115 (or 101 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 48531600 is about 6966.4625169450. The cubic root of 48531600 is about 364.7608366314.

The spelling of 48531600 in words is "forty-eight million, five hundred thirty-one thousand, six hundred".