48006900 has 108 divisors (see below), whose sum is σ = 154263564. Its totient is φ = 12480000.

The previous prime is 48006857. The next prime is 48006913. The reversal of 48006900 is 960084.

It can be written as a sum of positive squares in 6 ways, for example, as 24561936 + 23444964 = 4956^2 + 4842^2 .

It is a super-2 number, since 2×48006900² = 4609324895220000, which contains 22 as substring.

It is a congruent number.

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, 36250 + ... + 37550.

Almost surely, 2^48006900 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 48006900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77131782).

48006900 is an abundant number, since it is smaller than the sum of its proper divisors (106256664).

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

48006900 is a wasteful number, since it uses less digits than its factorization.

48006900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1362 (or 1352 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 48006900 is about 6928.7011769884. The cubic root of 48006900 is about 363.4415318044.

Adding to 48006900 its reverse (960084), we get a palindrome (48966984).

The spelling of 48006900 in words is "forty-eight million, six thousand, nine hundred".