398148000 has 96 divisors (see below), whose sum is σ = 1304372160. Its totient is φ = 106169600.

The previous prime is 398147987. The next prime is 398148001. The reversal of 398148000 is 841893.

It is a tau number, because it is divible by the number of its divisors (96).

It is a hoax number, since the sum of its digits (33) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (398148001) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4590 + ... + 28589.

It is an arithmetic number, because the mean of its divisors is an integer number (13587210).

Almost surely, 2^398148000 is an apocalyptic number.

398148000 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 398148000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (652186080).

398148000 is an abundant number, since it is smaller than the sum of its proper divisors (906224160).

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

398148000 is a wasteful number, since it uses less digits than its factorization.

398148000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33207 (or 33189 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 33.

The square root of 398148000 is about 19953.6462833238. The cubic root of 398148000 is about 735.6674024948.

Adding to 398148000 its reverse (841893), we get a palindrome (398989893).

The spelling of 398148000 in words is "three hundred ninety-eight million, one hundred forty-eight thousand".