335874800 has 60 divisors (see below), whose sum is σ = 809085120. Its totient is φ = 133992960.

The previous prime is 335874779. The next prime is 335874809. The reversal of 335874800 is 8478533.

It is a happy number.

335874800 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×335874800² = 225623762550080000, which contains 22 as substring.

It is a zygodrome in base 4.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (335874809) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 190724 + ... + 192476.

It is an arithmetic number, because the mean of its divisors is an integer number (13484752).

Almost surely, 2^335874800 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 335874800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (404542560).

335874800 is an abundant number, since it is smaller than the sum of its proper divisors (473210320).

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

335874800 is a wasteful number, since it uses less digits than its factorization.

335874800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2250 (or 2239 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 38.

The square root of 335874800 is about 18326.8873516481. The cubic root of 335874800 is about 695.1189693341.

The spelling of 335874800 in words is "three hundred thirty-five million, eight hundred seventy-four thousand, eight hundred".