1144000420 has 24 divisors (see below), whose sum is σ = 2409543864. Its totient is φ = 456239616.

The previous prime is 1144000399. The next prime is 1144000483. The reversal of 1144000420 is 240004411.

It can be written as a sum of positive squares in 4 ways, for example, as 7096896 + 1136903524 = 2664^2 + 33718^2 .

It is a junction number, because it is equal to n+sod(n) for n = 1144000394 and 1144000403.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 78127 + ... + 91606.

It is an arithmetic number, because the mean of its divisors is an integer number (100397661).

Almost surely, 2^1144000420 is an apocalyptic number.

1144000420 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1144000420 is an abundant number, since it is smaller than the sum of its proper divisors (1265543444).

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

1144000420 is a wasteful number, since it uses less digits than its factorization.

1144000420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 170079 (or 170077 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 16.

The square root of 1144000420 is about 33823.0752593551. The cubic root of 1144000420 is about 1045.8644343416.

Adding to 1144000420 its reverse (240004411), we get a palindrome (1384004831).

The spelling of 1144000420 in words is "one billion, one hundred forty-four million, four hundred twenty", and thus it is an aban number.