144401904 has 120 divisors (see below), whose sum is σ = 422666400. Its totient is φ = 45964800.

The previous prime is 144401899. The next prime is 144401941. The reversal of 144401904 is 409104441.

144401904 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 630462 + ... + 630690.

It is an arithmetic number, because the mean of its divisors is an integer number (3522220).

Almost surely, 2^144401904 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 144401904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (211333200).

144401904 is an abundant number, since it is smaller than the sum of its proper divisors (278264496).

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

144401904 is a wasteful number, since it uses less digits than its factorization.

144401904 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 423 (or 414 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 144401904 is about 12016.7343317559. The cubic root of 144401904 is about 524.6354584984.

The spelling of 144401904 in words is "one hundred forty-four million, four hundred one thousand, nine hundred four".