48758400 has 144 divisors (see below), whose sum is σ = 174083910. Its totient is φ = 12994560.

The previous prime is 48758393. The next prime is 48758401. The reversal of 48758400 is 485784.

It can be written as a sum of positive squares in 3 ways, for example, as 33454656 + 15303744 = 5784^2 + 3912^2 .

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (48758401) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 27954 + ... + 29646.

Almost surely, 2^48758400 is an apocalyptic number.

48758400 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 48758400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87041955).

48758400 is an abundant number, since it is smaller than the sum of its proper divisors (125325510).

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

48758400 is a wasteful number, since it uses less digits than its factorization.

48758400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1723 (or 1703 counting only the distinct ones).

The product of its (nonzero) digits is 35840, while the sum is 36.

The square root of 48758400 is about 6982.7215324686. The cubic root of 48758400 is about 365.3281592438.

The spelling of 48758400 in words is "forty-eight million, seven hundred fifty-eight thousand, four hundred".