398066592 has 240 divisors, whose sum is σ = 1338295392. Its totient is φ = 102735360.

The previous prime is 398066579. The next prime is 398066593. The reversal of 398066592 is 295660893.

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 (398066593) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 2535378 + ... + 2535534.

Almost surely, 2^398066592 is an apocalyptic number.

398066592 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 398066592, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (669147696).

398066592 is an abundant number, since it is smaller than the sum of its proper divisors (940228800).

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

398066592 is a wasteful number, since it uses less digits than its factorization.

398066592 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 209 (or 180 counting only the distinct ones).

The product of its (nonzero) digits is 699840, while the sum is 48.

The square root of 398066592 is about 19951.6062511267. The cubic root of 398066592 is about 735.6172592531.

The spelling of 398066592 in words is "three hundred ninety-eight million, sixty-six thousand, five hundred ninety-two".