60448000 has 72 divisors (see below), whose sum is σ = 150663240. Its totient is φ = 24166400.

The previous prime is 60447997. The next prime is 60448019. The reversal of 60448000 is 84406.

It can be written as a sum of positive squares in 4 ways, for example, as 2930944 + 57517056 = 1712^2 + 7584^2 .

It is a congruent number.

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 7 ways as a sum of consecutive naturals, for example, 31056 + ... + 32944.

It is an arithmetic number, because the mean of its divisors is an integer number (2092545).

Almost surely, 2^60448000 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 60448000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75331620).

60448000 is an abundant number, since it is smaller than the sum of its proper divisors (90215240).

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

60448000 is an equidigital number, since it uses as much as digits as its factorization.

60448000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1920 (or 1896 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 22.

The square root of 60448000 is about 7774.8311878780. The cubic root of 60448000 is about 392.4587160927.

The spelling of 60448000 in words is "sixty million, four hundred forty-eight thousand".