299874432 has 256 divisors, whose sum is σ = 965099520. Its totient is φ = 81285120.

The previous prime is 299874431. The next prime is 299874461. The reversal of 299874432 is 234478992.

299874432 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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

It is not an unprimeable number, because it can be changed into a prime (299874431) 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, 2361153 + ... + 2361279.

It is an arithmetic number, because the mean of its divisors is an integer number (3769920).

Almost surely, 2^299874432 is an apocalyptic number.

299874432 is a gapful number since it is divisible by the number (22) 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 299874432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (482549760).

299874432 is an abundant number, since it is smaller than the sum of its proper divisors (665225088).

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

299874432 is a wasteful number, since it uses less digits than its factorization.

299874432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 211 (or 199 counting only the distinct ones).

The product of its digits is 870912, while the sum is 48.

The square root of 299874432 is about 17316.8828603765. The cubic root of 299874432 is about 669.3395377629.

The spelling of 299874432 in words is "two hundred ninety-nine million, eight hundred seventy-four thousand, four hundred thirty-two".