1144788480 has 240 divisors, whose sum is σ = 4326111504. Its totient is φ = 277463040.

The previous prime is 1144788419. The next prime is 1144788481. The reversal of 1144788480 is 848874411.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1144788481) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 251182 + ... + 255698.

Almost surely, 2^1144788480 is an apocalyptic number.

1144788480 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 1144788480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2163055752).

1144788480 is an abundant number, since it is smaller than the sum of its proper divisors (3181323024).

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

1144788480 is a wasteful number, since it uses less digits than its factorization.

1144788480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4557 (or 4538 counting only the distinct ones).

The product of its (nonzero) digits is 229376, while the sum is 45.

The square root of 1144788480 is about 33834.7229928073. The cubic root of 1144788480 is about 1046.1045317895.

The spelling of 1144788480 in words is "one billion, one hundred forty-four million, seven hundred eighty-eight thousand, four hundred eighty".