399933072 has 240 divisors, whose sum is σ = 1443379840. Its totient is φ = 103783680.

The previous prime is 399933059. The next prime is 399933073. The reversal of 399933072 is 270339993.

It is not an unprimeable number, because it can be changed into a prime (399933073) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 365358 + ... + 366450.

Almost surely, 2^399933072 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 399933072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (721689920).

399933072 is an abundant number, since it is smaller than the sum of its proper divisors (1043446768).

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

399933072 is a wasteful number, since it uses less digits than its factorization.

399933072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1139 (or 1116 counting only the distinct ones).

The product of its (nonzero) digits is 275562, while the sum is 45.

The square root of 399933072 is about 19998.3267300042. The cubic root of 399933072 is about 736.7652032926.

The spelling of 399933072 in words is "three hundred ninety-nine million, nine hundred thirty-three thousand, seventy-two".