1144896400 has 60 divisors (see below), whose sum is σ = 2760810772. Its totient is φ = 456261120.

The previous prime is 1144896391. The next prime is 1144896409. The reversal of 1144896400 is 46984411.

It is an interprime number because it is at equal distance from previous prime (1144896391) and next prime (1144896409).

It can be written as a sum of positive squares in 6 ways, for example, as 43718544 + 1101177856 = 6612^2 + 33184^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 1144896400.

It is not an unprimeable number, because it can be changed into a prime (1144896409) 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, 105634 + ... + 115966.

Almost surely, 2^1144896400 is an apocalyptic number.

1144896400 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 1144896400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1380405386).

1144896400 is an abundant number, since it is smaller than the sum of its proper divisors (1615914372).

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

1144896400 is a wasteful number, since it uses less digits than its factorization.

1144896400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10628 (or 10617 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 37.

The square root of 1144896400 is about 33836.3177665656. The cubic root of 1144896400 is about 1046.1374030886.

The spelling of 1144896400 in words is "one billion, one hundred forty-four million, eight hundred ninety-six thousand, four hundred".