48586200 has 96 divisors (see below), whose sum is σ = 162229200. Its totient is φ = 11957760.

The previous prime is 48586193. The next prime is 48586201. The reversal of 48586200 is 268584.

It is a hoax number, since the sum of its digits (33) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (48586201) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4686 + ... + 10914.

Almost surely, 2^48586200 is an apocalyptic number.

48586200 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 48586200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81114600).

48586200 is an abundant number, since it is smaller than the sum of its proper divisors (113643000).

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

48586200 is a wasteful number, since it uses less digits than its factorization.

48586200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6261 (or 6252 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 33.

The square root of 48586200 is about 6970.3801904918. The cubic root of 48586200 is about 364.8975755644.

The spelling of 48586200 in words is "forty-eight million, five hundred eighty-six thousand, two hundred".