398170080 has 864 divisors, whose sum is σ = 1882258560. Its totient is φ = 78382080.

The previous prime is 398170051. The next prime is 398170109. The reversal of 398170080 is 80071893.

It is an interprime number because it is at equal distance from previous prime (398170051) and next prime (398170109).

It is a tau number, because it is divible by the number of its divisors (864).

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 143 ways as a sum of consecutive naturals, for example, 20956311 + ... + 20956329.

It is an arithmetic number, because the mean of its divisors is an integer number (2178540).

Almost surely, 2^398170080 is an apocalyptic number.

398170080 is a gapful number since it is divisible by the number (30) 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 398170080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (941129280).

398170080 is an abundant number, since it is smaller than the sum of its proper divisors (1484088480).

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

398170080 is a wasteful number, since it uses less digits than its factorization.

398170080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 74 (or 47 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 36.

The square root of 398170080 is about 19954.1995579878. The cubic root of 398170080 is about 735.6810014881.

The spelling of 398170080 in words is "three hundred ninety-eight million, one hundred seventy thousand, eighty".