1352830248 has 320 divisors, whose sum is σ = 4976294400. Its totient is φ = 332657280.

The previous prime is 1352830189. The next prime is 1352830249. The reversal of 1352830248 is 8420382531.

1352830248 is a `hidden beast` number, since 135 + 283 + 0 + 248 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (1352830249) 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 79 ways as a sum of consecutive naturals, for example, 947311 + ... + 948737.

It is an arithmetic number, because the mean of its divisors is an integer number (15550920).

Almost surely, 2^1352830248 is an apocalyptic number.

1352830248 is a gapful number since it is divisible by the number (18) 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 1352830248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2488147200).

1352830248 is an abundant number, since it is smaller than the sum of its proper divisors (3623464152).

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

1352830248 is a wasteful number, since it uses less digits than its factorization.

1352830248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1482 (or 1469 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The square root of 1352830248 is about 36780.8407734244. The cubic root of 1352830248 is about 1105.9812603168.

The spelling of 1352830248 in words is "one billion, three hundred fifty-two million, eight hundred thirty thousand, two hundred forty-eight".