1484144640 has 480 divisors, whose sum is σ = 5850875520. Its totient is φ = 353894400.

The previous prime is 1484144603. The next prime is 1484144741. The reversal of 1484144640 is 464414841.

1484144640 is a `hidden beast` number, since 1 + 4 + 8 + 4 + 1 + 4 + 4 + 640 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 1484144595 and 1484144604.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 24330210 + ... + 24330270.

It is an arithmetic number, because the mean of its divisors is an integer number (12189324).

Almost surely, 2^1484144640 is an apocalyptic number.

1484144640 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 1484144640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2925437760).

1484144640 is an abundant number, since it is smaller than the sum of its proper divisors (4366730880).

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

1484144640 is an equidigital number, since it uses as much as digits as its factorization.

1484144640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 114 (or 82 counting only the distinct ones).

The product of its (nonzero) digits is 49152, while the sum is 36.

The square root of 1484144640 is about 38524.5978564345. The cubic root of 1484144640 is about 1140.6666460956. Note that the first 4 decimals are identical.

The spelling of 1484144640 in words is "one billion, four hundred eighty-four million, one hundred forty-four thousand, six hundred forty".