1480633441 has 27 divisors (see below), whose sum is σ = 1808076081. Its totient is φ = 1208856264.

The previous prime is 1480633423. The next prime is 1480633447. The reversal of 1480633441 is 1443360841.

The square root of 1480633441 is 38479.

It is a perfect power (a square), and thus also a powerful number.

It is not a de Polignac number, because 1480633441 - 2⁵ = 1480633409 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 1480633397 and 1480633406.

It is not an unprimeable number, because it can be changed into a prime (1480633447) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 6195000 + ... + 6195238.

Almost surely, 2^1480633441 is an apocalyptic number.

1480633441 is the 38479-th square number.

1480633441 is the 19240-th centered octagonal number.

It is an amenable number.

1480633441 is a deficient number, since it is larger than the sum of its proper divisors (327442640).

1480633441 is an frugal number, since it uses more digits than its factorization.

1480633441 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 538 (or 269 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 34.

The cubic root of 1480633441 is about 1139.7664036095.

The spelling of 1480633441 in words is "one billion, four hundred eighty million, six hundred thirty-three thousand, four hundred forty-one".