144403920 has 120 divisors (see below), whose sum is σ = 488977632. Its totient is φ = 38188800.

The previous prime is 144403907. The next prime is 144403937. The reversal of 144403920 is 29304441.

144403920 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (120).

It is a super-2 number, since 2×144403920² = 41704984222732800, which contains 22 as substring.

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, 93555 + ... + 95085.

Almost surely, 2^144403920 is an apocalyptic number.

144403920 is a gapful number since it is divisible by the number (10) 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 144403920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (244488816).

144403920 is an abundant number, since it is smaller than the sum of its proper divisors (344573712).

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

144403920 is a wasteful number, since it uses less digits than its factorization.

144403920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1681 (or 1672 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 144403920 is about 12016.8182144859. The cubic root of 144403920 is about 524.6378999717.

The spelling of 144403920 in words is "one hundred forty-four million, four hundred three thousand, nine hundred twenty".