398073312 has 384 divisors, whose sum is σ = 1469905920. Its totient is φ = 102021120.

The previous prime is 398073289. The next prime is 398073323. The reversal of 398073312 is 213370893.

It is a happy number.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4796023 + ... + 4796105.

It is an arithmetic number, because the mean of its divisors is an integer number (3827880).

Almost surely, 2^398073312 is an apocalyptic number.

398073312 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 398073312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (734952960).

398073312 is an abundant number, since it is smaller than the sum of its proper divisors (1071832608).

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

398073312 is a wasteful number, since it uses less digits than its factorization.

398073312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 183 (or 169 counting only the distinct ones).

The product of its (nonzero) digits is 27216, while the sum is 36.

The square root of 398073312 is about 19951.7746579095. The cubic root of 398073312 is about 735.6213986946.

The spelling of 398073312 in words is "three hundred ninety-eight million, seventy-three thousand, three hundred twelve".