48735400 has 72 divisors (see below), whose sum is σ = 131835870. Its totient is φ = 16705920.

The previous prime is 48735391. The next prime is 48735409. The reversal of 48735400 is 453784.

48735400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (48735391) and next prime (48735409).

It can be written as a sum of positive squares in 3 ways, for example, as 39162564 + 9572836 = 6258^2 + 3094^2 .

It is not an unprimeable number, because it can be changed into a prime (48735409) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 7314 + ... + 12286.

Almost surely, 2^48735400 is an apocalyptic number.

48735400 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 48735400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65917935).

48735400 is an abundant number, since it is smaller than the sum of its proper divisors (83100470).

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

48735400 is a wasteful number, since it uses less digits than its factorization.

48735400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5003 (or 4987 counting only the distinct ones).

The product of its (nonzero) digits is 13440, while the sum is 31.

The square root of 48735400 is about 6981.0744158761. The cubic root of 48735400 is about 365.2707067897.

The spelling of 48735400 in words is "forty-eight million, seven hundred thirty-five thousand, four hundred".