331400160 has 480 divisors, whose sum is σ = 1444588992. Its totient is φ = 69672960.

The previous prime is 331400141. The next prime is 331400161. The reversal of 331400160 is 61004133.

331400160 = T₃₅₇ + T₃₅₈ + ... + T₁₂₆₆.

It is a tau number, because it is divible by the number of its divisors (480).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (331400161) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 1179220 + ... + 1179500.

Almost surely, 2^331400160 is an apocalyptic number.

331400160 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 331400160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (722294496).

331400160 is an abundant number, since it is smaller than the sum of its proper divisors (1113188832).

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

331400160 is a wasteful number, since it uses less digits than its factorization.

331400160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 328 (or 311 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

The square root of 331400160 is about 18204.3994682604. The cubic root of 331400160 is about 692.0182872421.

Adding to 331400160 its reverse (61004133), we get a palindrome (392404293).

The spelling of 331400160 in words is "three hundred thirty-one million, four hundred thousand, one hundred sixty".