398571360 has 384 divisors, whose sum is σ = 1502323200. Its totient is φ = 87736320.

The previous prime is 398571359. The next prime is 398571361. The reversal of 398571360 is 63175893.

It is an interprime number because it is at equal distance from previous prime (398571359) and next prime (398571361).

It is a super-3 number, since 3×398571360³ (a number of 27 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (398571361) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2909212 + ... + 2909348.

It is an arithmetic number, because the mean of its divisors is an integer number (3912300).

Almost surely, 2^398571360 is an apocalyptic number.

398571360 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 398571360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (751161600).

398571360 is an abundant number, since it is smaller than the sum of its proper divisors (1103751840).

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

398571360 is a wasteful number, since it uses less digits than its factorization.

398571360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 214 (or 206 counting only the distinct ones).

The product of its (nonzero) digits is 136080, while the sum is 42.

The square root of 398571360 is about 19964.2520521055. The cubic root of 398571360 is about 735.9280608641.

The spelling of 398571360 in words is "three hundred ninety-eight million, five hundred seventy-one thousand, three hundred sixty".