25200448 has 56 divisors (see below), whose sum is σ = 61561472. Its totient is φ = 9967104.

The previous prime is 25200431. The next prime is 25200457. The reversal of 25200448 is 84400252.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (56).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3661 + ... + 7987.

It is an arithmetic number, because the mean of its divisors is an integer number (1099312).

Almost surely, 2^25200448 is an apocalyptic number.

25200448 is a gapful number since it is divisible by the number (28) 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 25200448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30780736).

25200448 is an abundant number, since it is smaller than the sum of its proper divisors (36361024).

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

25200448 is a wasteful number, since it uses less digits than its factorization.

25200448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4359 (or 4349 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 25.

The square root of 25200448 is about 5020.0047808742. The cubic root of 25200448 is about 293.1811791250.

It can be divided in two parts, 25200 and 448, that multiplied together give a square (11289600 = 3360²).

The spelling of 25200448 in words is "twenty-five million, two hundred thousand, four hundred forty-eight".