299430768 has 160 divisors (see below), whose sum is σ = 972160000. Its totient is φ = 78914304.

The previous prime is 299430763. The next prime is 299430773. The reversal of 299430768 is 867034992.

It is an interprime number because it is at equal distance from previous prime (299430763) and next prime (299430773).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (299430763) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 213333 + ... + 214731.

It is an arithmetic number, because the mean of its divisors is an integer number (6076000).

Almost surely, 2^299430768 is an apocalyptic number.

299430768 is a gapful number since it is divisible by the number (28) 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 299430768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (486080000).

299430768 is an abundant number, since it is smaller than the sum of its proper divisors (672729232).

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

299430768 is a wasteful number, since it uses less digits than its factorization.

299430768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1444 (or 1424 counting only the distinct ones).

The product of its (nonzero) digits is 653184, while the sum is 48.

The square root of 299430768 is about 17304.0679610316. The cubic root of 299430768 is about 669.0092790534.

The spelling of 299430768 in words is "two hundred ninety-nine million, four hundred thirty thousand, seven hundred sixty-eight".