331413000 has 128 divisors (see below), whose sum is σ = 1051539840. Its totient is φ = 86880000.

The previous prime is 331412999. The next prime is 331413007. The reversal of 331413000 is 314133.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is not an unprimeable number, because it can be changed into a prime (331413007) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 182095 + ... + 183905.

It is an arithmetic number, because the mean of its divisors is an integer number (8215155).

Almost surely, 2^331413000 is an apocalyptic number.

331413000 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 331413000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (525769920).

331413000 is an abundant number, since it is smaller than the sum of its proper divisors (720126840).

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

331413000 is a wasteful number, since it uses less digits than its factorization.

331413000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1896 (or 1882 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 15.

The square root of 331413000 is about 18204.7521268486. The cubic root of 331413000 is about 692.0272244738.

Adding to 331413000 its reverse (314133), we get a palindrome (331727133).

The spelling of 331413000 in words is "three hundred thirty-one million, four hundred thirteen thousand".