398325312 has 252 divisors, whose sum is σ = 1450000656. Its totient is φ = 103380480.

The previous prime is 398325311. The next prime is 398325331. The reversal of 398325312 is 213523893.

398325312 is a `hidden beast` number, since 3 + 98 + 32 + 531 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (252).

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 (398325311) 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 35 ways as a sum of consecutive naturals, for example, 309823 + ... + 311105.

Almost surely, 2^398325312 is an apocalyptic number.

398325312 is a gapful number since it is divisible by the number (32) 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 398325312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (725000328).

398325312 is an abundant number, since it is smaller than the sum of its proper divisors (1051675344).

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

398325312 is a wasteful number, since it uses less digits than its factorization.

398325312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1326 (or 1306 counting only the distinct ones).

The product of its digits is 38880, while the sum is 36.

The square root of 398325312 is about 19958.0888864641. The cubic root of 398325312 is about 735.7765941349.

The spelling of 398325312 in words is "three hundred ninety-eight million, three hundred twenty-five thousand, three hundred twelve".