48735200 has 36 divisors (see below), whose sum is σ = 118976760. Its totient is φ = 19493760.

The previous prime is 48735191. The next prime is 48735233. The reversal of 48735200 is 253784.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 29660 + ... + 31259.

It is an arithmetic number, because the mean of its divisors is an integer number (3304910).

Almost surely, 2^48735200 is an apocalyptic number.

48735200 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

48735200 is an abundant number, since it is smaller than the sum of its proper divisors (70241560).

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

48735200 is a wasteful number, since it uses less digits than its factorization.

48735200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 60939 (or 60926 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 29.

The square root of 48735200 is about 6981.0600914188. The cubic root of 48735200 is about 365.2702071239.

Adding to 48735200 its reverse (253784), we get a palindrome (48988984).

The spelling of 48735200 in words is "forty-eight million, seven hundred thirty-five thousand, two hundred".