335461920 has 96 divisors (see below), whose sum is σ = 1081346112. Its totient is φ = 87370752.

The previous prime is 335461913. The next prime is 335461921. The reversal of 335461920 is 29164533.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×335461920² = 225069399540172800, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (335461921) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12514 + ... + 28766.

It is an arithmetic number, because the mean of its divisors is an integer number (11264022).

Almost surely, 2^335461920 is an apocalyptic number.

335461920 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 335461920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (540673056).

335461920 is an abundant number, since it is smaller than the sum of its proper divisors (745884192).

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

335461920 is a wasteful number, since it uses less digits than its factorization.

335461920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16314 (or 16306 counting only the distinct ones).

The product of its (nonzero) digits is 19440, while the sum is 33.

The square root of 335461920 is about 18315.6195636402. The cubic root of 335461920 is about 694.8340234747.

The spelling of 335461920 in words is "three hundred thirty-five million, four hundred sixty-one thousand, nine hundred twenty".