1330449120 has 864 divisors, whose sum is σ = 6215698944. Its totient is φ = 251596800.

The previous prime is 1330449119. The next prime is 1330449137. The reversal of 1330449120 is 219440331.

1330449120 = 413² + 414² + ... + 1595².

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 18738685 + ... + 18738755.

It is an arithmetic number, because the mean of its divisors is an integer number (7194096).

Almost surely, 2^1330449120 is an apocalyptic number.

1330449120 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 1330449120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3107849472).

1330449120 is an abundant number, since it is smaller than the sum of its proper divisors (4885249824).

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

1330449120 is a wasteful number, since it uses less digits than its factorization.

1330449120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 136 (or 112 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The square root of 1330449120 is about 36475.3220684890. The cubic root of 1330449120 is about 1099.8482214827.

Adding to 1330449120 its reverse (219440331), we get a palindrome (1549889451).

The spelling of 1330449120 in words is "one billion, three hundred thirty million, four hundred forty-nine thousand, one hundred twenty".