144397440 has 384 divisors, whose sum is σ = 567103680. Its totient is φ = 33546240.

The previous prime is 144397403. The next prime is 144397441. The reversal of 144397440 is 44793441.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 144397395 and 144397404.

It is not an unprimeable number, because it can be changed into a prime (144397441) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2724454 + ... + 2724506.

Almost surely, 2^144397440 is an apocalyptic number.

144397440 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 144397440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (283551840).

144397440 is an abundant number, since it is smaller than the sum of its proper divisors (422706240).

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

144397440 is a wasteful number, since it uses less digits than its factorization.

144397440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 132 (or 117 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The square root of 144397440 is about 12016.5485893413. The cubic root of 144397440 is about 524.6300522982.

The spelling of 144397440 in words is "one hundred forty-four million, three hundred ninety-seven thousand, four hundred forty".