144864400 has 30 divisors (see below), whose sum is σ = 348037682. Its totient is φ = 57945600.

The previous prime is 144864389. The next prime is 144864403. The reversal of 144864400 is 4468441.

It can be written as a sum of positive squares in 3 ways, for example, as 2396304 + 142468096 = 1548^2 + 11936^2 .

It is not an unprimeable number, because it can be changed into a prime (144864403) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 180681 + ... + 181480.

Almost surely, 2^144864400 is an apocalyptic number.

144864400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

144864400 is an abundant number, since it is smaller than the sum of its proper divisors (203173282).

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

144864400 is a wasteful number, since it uses less digits than its factorization.

144864400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 362179 (or 362168 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 31.

The square root of 144864400 is about 12035.9627782741. The cubic root of 144864400 is about 525.1949691576.

The spelling of 144864400 in words is "one hundred forty-four million, eight hundred sixty-four thousand, four hundred".