335120000 has 160 divisors (see below), whose sum is σ = 860349600. Its totient is φ = 129920000.

The previous prime is 335119979. The next prime is 335120003. The reversal of 335120000 is 21533.

It is a tau number, because it is divible by the number of its divisors (160).

It is a super-2 number, since 2×335120000² = 224610828800000000, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (335120003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 4719965 + ... + 4720035.

It is an arithmetic number, because the mean of its divisors is an integer number (5377185).

Almost surely, 2^335120000 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 335120000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (430174800).

335120000 is an abundant number, since it is smaller than the sum of its proper divisors (525229600).

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

335120000 is an frugal number, since it uses more digits than its factorization.

335120000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 164 (or 137 counting only the distinct ones).

The product of its (nonzero) digits is 90, while the sum is 14.

The square root of 335120000 is about 18306.2830743983. The cubic root of 335120000 is about 694.5978730624.

Adding to 335120000 its reverse (21533), we get a palindrome (335141533).

The spelling of 335120000 in words is "three hundred thirty-five million, one hundred twenty thousand".