144400400 has 30 divisors (see below), whose sum is σ = 346922922. Its totient is φ = 57760000.

The previous prime is 144400369. The next prime is 144400423. The reversal of 144400400 is 4004441.

It can be written as a sum of positive squares in 3 ways, for example, as 2027776 + 142372624 = 1424^2 + 11932^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 180101 + ... + 180900.

Almost surely, 2^144400400 is an apocalyptic number.

144400400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

144400400 is an abundant number, since it is smaller than the sum of its proper divisors (202522522).

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

144400400 is a wasteful number, since it uses less digits than its factorization.

144400400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 361019 (or 361008 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 17.

The square root of 144400400 is about 12016.6717521949. The cubic root of 144400400 is about 524.6336370671.

Adding to 144400400 its reverse (4004441), we get a palindrome (148404841).

It can be divided in two parts, 144400 and 400, that multiplied together give a square (57760000 = 7600²).

The spelling of 144400400 in words is "one hundred forty-four million, four hundred thousand, four hundred".