144649440 has 144 divisors (see below), whose sum is σ = 531655488. Its totient is φ = 35601408.

The previous prime is 144649423. The next prime is 144649459. The reversal of 144649440 is 44946441.

144649440 is a `hidden beast` number, since 1 + 4 + 4 + 649 + 4 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

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 = 144649395 and 144649404.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 14857 + ... + 22583.

It is an arithmetic number, because the mean of its divisors is an integer number (3692052).

Almost surely, 2^144649440 is an apocalyptic number.

144649440 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 144649440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (265827744).

144649440 is an abundant number, since it is smaller than the sum of its proper divisors (387006048).

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

144649440 is a wasteful number, since it uses less digits than its factorization.

144649440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7761 (or 7750 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 36.

The square root of 144649440 is about 12027.0295584571. The cubic root of 144649440 is about 524.9350667992.

The spelling of 144649440 in words is "one hundred forty-four million, six hundred forty-nine thousand, four hundred forty".