48404900 has 36 divisors (see below), whose sum is σ = 107032212. Its totient is φ = 18994560.

The previous prime is 48404891. The next prime is 48404921. The reversal of 48404900 is 940484.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 850084 + 47554816 = 922^2 + 6896^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 734 + ... + 9866.

It is an arithmetic number, because the mean of its divisors is an integer number (2973117).

Almost surely, 2^48404900 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 48404900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53516106).

48404900 is an abundant number, since it is smaller than the sum of its proper divisors (58627312).

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

48404900 is a wasteful number, since it uses less digits than its factorization.

48404900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9200 (or 9193 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 29.

The square root of 48404900 is about 6957.3630061971. The cubic root of 48404900 is about 364.4431365900.

The spelling of 48404900 in words is "forty-eight million, four hundred four thousand, nine hundred".