48534200 has 96 divisors (see below), whose sum is σ = 132647760. Its totient is φ = 16281600.

The previous prime is 48534181. The next prime is 48534247. The reversal of 48534200 is 243584.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a self number, because there is not a number n which added to its sum of digits gives 48534200.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 27752 + ... + 29448.

Almost surely, 2^48534200 is an apocalyptic number.

48534200 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 48534200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66323880).

48534200 is an abundant number, since it is smaller than the sum of its proper divisors (84113560).

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

48534200 is a wasteful number, since it uses less digits than its factorization.

48534200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1737 (or 1728 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 26.

The square root of 48534200 is about 6966.6491227849. The cubic root of 48534200 is about 364.7673503341.

Adding to 48534200 its reverse (243584), we get a palindrome (48777784).

The spelling of 48534200 in words is "forty-eight million, five hundred thirty-four thousand, two hundred".