48205000 has 80 divisors (see below), whose sum is σ = 116962560. Its totient is φ = 18600000.

The previous prime is 48204997. The next prime is 48205019. The reversal of 48205000 is 50284.

It is a happy number.

It is a zygodrome in base 6.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 154845 + ... + 155155.

It is an arithmetic number, because the mean of its divisors is an integer number (1462032).

Almost surely, 2^48205000 is an apocalyptic number.

48205000 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 48205000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58481280).

48205000 is an abundant number, since it is smaller than the sum of its proper divisors (68757560).

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

48205000 is a wasteful number, since it uses less digits than its factorization.

48205000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 368 (or 349 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 19.

The square root of 48205000 is about 6942.9820682470. The cubic root of 48205000 is about 363.9407583820.

Adding to 48205000 its reverse (50284), we get a palindrome (48255284).

The spelling of 48205000 in words is "forty-eight million, two hundred five thousand".