48144400 has 60 divisors (see below), whose sum is σ = 118829572. Its totient is φ = 18731520.

The previous prime is 48144389. The next prime is 48144409. The reversal of 48144400 is 444184.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 8856576 + 39287824 = 2976^2 + 6268^2 .

It is a Harshad number since it is a multiple of its sum of digits (25).

It is not an unprimeable number, because it can be changed into a prime (48144409) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 13174 + ... + 16426.

Almost surely, 2^48144400 is an apocalyptic number.

48144400 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 48144400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59414786).

48144400 is an abundant number, since it is smaller than the sum of its proper divisors (70685172).

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

48144400 is a wasteful number, since it uses less digits than its factorization.

48144400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3308 (or 3297 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 25.

The square root of 48144400 is about 6938.6165768113. The cubic root of 48144400 is about 363.7881873600.

Adding to 48144400 its reverse (444184), we get a palindrome (48588584).

The spelling of 48144400 in words is "forty-eight million, one hundred forty-four thousand, four hundred".