4800144 has 20 divisors (see below), whose sum is σ = 12400496. Its totient is φ = 1600032.

The previous prime is 4800113. The next prime is 4800149. The reversal of 4800144 is 4410084.

4800144 is a modest number, since divided by 144 gives 48 as remainder.

It is a self number, because there is not a number n which added to its sum of digits gives 4800144.

It is not an unprimeable number, because it can be changed into a prime (4800149) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 49954 + ... + 50049.

Almost surely, 2^4800144 is an apocalyptic number.

It is an amenable number.

4800144 is an abundant number, since it is smaller than the sum of its proper divisors (7600352).

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

4800144 is a wasteful number, since it uses less digits than its factorization.

4800144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 100014 (or 100008 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 21.

The square root of 4800144 is about 2190.9230931276. The cubic root of 4800144 is about 168.6882199088.

The spelling of 4800144 in words is "four million, eight hundred thousand, one hundred forty-four".