1483553841 has 96 divisors (see below), whose sum is σ = 2750993280. Its totient is φ = 699955200.

The previous prime is 1483553837. The next prime is 1483553849.

It is a happy number.

1483553841 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 1483553841 - 2² = 1483553837 is a prime.

It is a super-3 number, since 3×1483553841³ (a number of 28 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1483553793 and 1483553802.

It is not an unprimeable number, because it can be changed into a prime (1483553849) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 796251 + ... + 798111.

It is an arithmetic number, because the mean of its divisors is an integer number (28656180).

Almost surely, 2^1483553841 is an apocalyptic number.

1483553841 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

1483553841 is a deficient number, since it is larger than the sum of its proper divisors (1267439439).

1483553841 is a wasteful number, since it uses less digits than its factorization.

1483553841 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1935 (or 1928 counting only the distinct ones).

The product of its digits is 230400, while the sum is 42.

The square root of 1483553841 is about 38516.9292779162. The cubic root of 1483553841 is about 1140.5152695301.

The spelling of 1483553841 in words is "one billion, four hundred eighty-three million, five hundred fifty-three thousand, eight hundred forty-one".