48493800 has 144 divisors (see below), whose sum is σ = 168655500. Its totient is φ = 12472320.

The previous prime is 48493793. The next prime is 48493813. The reversal of 48493800 is 839484.

It can be written as a sum of positive squares in 6 ways, for example, as 5171076 + 43322724 = 2274^2 + 6582^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 51736 + ... + 52664.

Almost surely, 2^48493800 is an apocalyptic number.

48493800 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 48493800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84327750).

48493800 is an abundant number, since it is smaller than the sum of its proper divisors (120161700).

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

48493800 is a wasteful number, since it uses less digits than its factorization.

48493800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 980 (or 968 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 48493800 is about 6963.7489903069. The cubic root of 48493800 is about 364.6661111270. Note that the first 3 decimals are identical.

It can be divided in two parts, 4849 and 3800, that added together give a square (8649 = 93²).

The spelling of 48493800 in words is "forty-eight million, four hundred ninety-three thousand, eight hundred".