331398000 has 480 divisors, whose sum is σ = 1326611520. Its totient is φ = 78796800.

The previous prime is 331397999. The next prime is 331398031. The reversal of 331398000 is 893133.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 17441991 + ... + 17442009.

It is an arithmetic number, because the mean of its divisors is an integer number (2763774).

Almost surely, 2^331398000 is an apocalyptic number.

331398000 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 331398000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (663305760).

331398000 is an abundant number, since it is smaller than the sum of its proper divisors (995213520).

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

331398000 is a wasteful number, since it uses less digits than its factorization.

331398000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 87 (or 46 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 27.

The square root of 331398000 is about 18204.3401418453. The cubic root of 331398000 is about 692.0167837599.

The spelling of 331398000 in words is "three hundred thirty-one million, three hundred ninety-eight thousand".