144576450 has 72 divisors (see below), whose sum is σ = 392397876. Its totient is φ = 38160000.

The previous prime is 144576389. The next prime is 144576451. The reversal of 144576450 is 54675441.

144576450 is a `hidden beast` number, since 1 + 4 + 4 + 5 + 7 + 645 + 0 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 57471561 + 87104889 = 7581^2 + 9333^2 .

It is a super-3 number, since 3×144576450³ (a number of 25 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (144576451) by changing a digit.

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 35 ways as a sum of consecutive naturals, for example, 43860 + ... + 47040.

Almost surely, 2^144576450 is an apocalyptic number.

144576450 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 144576450, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (196198938).

144576450 is an abundant number, since it is smaller than the sum of its proper divisors (247821426).

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

144576450 is a wasteful number, since it uses less digits than its factorization.

144576450 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3300 (or 3292 counting only the distinct ones).

The product of its (nonzero) digits is 67200, while the sum is 36.

The square root of 144576450 is about 12023.9947604779. The cubic root of 144576450 is about 524.8467579957.

The spelling of 144576450 in words is "one hundred forty-four million, five hundred seventy-six thousand, four hundred fifty".