1483668576 has 216 divisors, whose sum is σ = 4742108280. Its totient is φ = 456109056.

The previous prime is 1483668559. The next prime is 1483668607. The reversal of 1483668576 is 6758663841.

1483668576 is a `hidden beast` number, since 1 + 4 + 8 + 3 + 6 + 68 + 576 = 666.

1483668576 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (216).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1313580 + ... + 1314708.

It is an arithmetic number, because the mean of its divisors is an integer number (21954205).

Almost surely, 2^1483668576 is an apocalyptic number.

1483668576 is a gapful number since it is divisible by the number (16) 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 1483668576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2371054140).

1483668576 is an abundant number, since it is smaller than the sum of its proper divisors (3258439704).

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

1483668576 is a wasteful number, since it uses less digits than its factorization.

1483668576 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1180 (or 1147 counting only the distinct ones).

The product of its digits is 5806080, while the sum is 54.

The square root of 1483668576 is about 38518.4186591298. The cubic root of 1483668576 is about 1140.5446704732.

The spelling of 1483668576 in words is "one billion, four hundred eighty-three million, six hundred sixty-eight thousand, five hundred seventy-six".