144730400 has 72 divisors (see below), whose sum is σ = 356672484. Its totient is φ = 57344000.

The previous prime is 144730393. The next prime is 144730409. The reversal of 144730400 is 4037441.

It can be written as a sum of positive squares in 6 ways, for example, as 57942544 + 86787856 = 7612^2 + 9316^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (144730409) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 89600 + ... + 91200.

Almost surely, 2^144730400 is an apocalyptic number.

144730400 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 144730400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (178336242).

144730400 is an abundant number, since it is smaller than the sum of its proper divisors (211942084).

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

144730400 is a wasteful number, since it uses less digits than its factorization.

144730400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1734 (or 1721 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 23.

The square root of 144730400 is about 12030.3948397382. The cubic root of 144730400 is about 525.0329835664.

Adding to 144730400 its reverse (4037441), we get a palindrome (148767841).

The spelling of 144730400 in words is "one hundred forty-four million, seven hundred thirty thousand, four hundred".