331829420 has 48 divisors (see below), whose sum is σ = 752099040. Its totient is φ = 122251776.

The previous prime is 331829417. The next prime is 331829429. The reversal of 331829420 is 24928133.

It is a happy number.

It is a super-2 number, since 2×331829420² = 220221527955072800, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (331829429) 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, 146819 + ... + 149061.

It is an arithmetic number, because the mean of its divisors is an integer number (15668730).

Almost surely, 2^331829420 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 331829420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (376049520).

331829420 is an abundant number, since it is smaller than the sum of its proper divisors (420269620).

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

331829420 is a wasteful number, since it uses less digits than its factorization.

331829420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2834 (or 2832 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 32.

The square root of 331829420 is about 18216.1856600113. The cubic root of 331829420 is about 692.3169469292.

The spelling of 331829420 in words is "three hundred thirty-one million, eight hundred twenty-nine thousand, four hundred twenty".