48352400 has 60 divisors (see below), whose sum is σ = 117338100. Its totient is φ = 19146240.

The previous prime is 48352399. The next prime is 48352411. The reversal of 48352400 is 425384.

It can be written as a sum of positive squares in 6 ways, for example, as 6310144 + 42042256 = 2512^2 + 6484^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 48352400.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 43046 + ... + 44154.

It is an arithmetic number, because the mean of its divisors is an integer number (1955635).

Almost surely, 2^48352400 is an apocalyptic number.

48352400 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 48352400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58669050).

48352400 is an abundant number, since it is smaller than the sum of its proper divisors (68985700).

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

48352400 is a wasteful number, since it uses less digits than its factorization.

48352400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1236 (or 1225 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 26.

The square root of 48352400 is about 6953.5890013719. The cubic root of 48352400 is about 364.3113304701.

Adding to 48352400 its reverse (425384), we get a palindrome (48777784).

The spelling of 48352400 in words is "forty-eight million, three hundred fifty-two thousand, four hundred".