330742000 has 80 divisors (see below), whose sum is σ = 813144384. Its totient is φ = 130080000.

The previous prime is 330741991. The next prime is 330742037. The reversal of 330742000 is 247033.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 120645 + ... + 123355.

Almost surely, 2^330742000 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 330742000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (406572192).

330742000 is an abundant number, since it is smaller than the sum of its proper divisors (482402384).

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

330742000 is a wasteful number, since it uses less digits than its factorization.

330742000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2795 (or 2779 counting only the distinct ones).

The product of its (nonzero) digits is 504, while the sum is 19.

The square root of 330742000 is about 18186.3135351835. The cubic root of 330742000 is about 691.5598680283.

Adding to 330742000 its reverse (247033), we get a palindrome (330989033).

The spelling of 330742000 in words is "three hundred thirty million, seven hundred forty-two thousand".