1348485600 has 288 divisors, whose sum is σ = 5473149696. Its totient is φ = 280166400.

The previous prime is 1348485571. The next prime is 1348485631. The reversal of 1348485600 is 65848431.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 181152 + ... + 188448.

It is an arithmetic number, because the mean of its divisors is an integer number (19003992).

Almost surely, 2^1348485600 is an apocalyptic number.

1348485600 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 1348485600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2736574848).

1348485600 is an abundant number, since it is smaller than the sum of its proper divisors (4124664096).

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

1348485600 is a wasteful number, since it uses less digits than its factorization.

1348485600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7338 (or 7325 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 39.

The square root of 1348485600 is about 36721.7319852972. The cubic root of 1348485600 is about 1104.7960284979.

The spelling of 1348485600 in words is "one billion, three hundred forty-eight million, four hundred eighty-five thousand, six hundred".