335872000 has 136 divisors (see below), whose sum is σ = 858777192. Its totient is φ = 131072000.

The previous prime is 335871973. The next prime is 335872003. The reversal of 335872000 is 278533.

It can be written as a sum of positive squares in 4 ways, for example, as 75759616 + 260112384 = 8704^2 + 16128^2 .

It is a super-2 number, since 2×335872000² = 225620000768000000, which contains 22 as substring.

It is a zygodrome in base 4.

It is a self number, because there is not a number n which added to its sum of digits gives 335872000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (335872003) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 8191980 + ... + 8192020.

Almost surely, 2^335872000 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 335872000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (429388596).

335872000 is an abundant number, since it is smaller than the sum of its proper divisors (522905192).

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

335872000 is an frugal number, since it uses more digits than its factorization.

335872000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 88 (or 48 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 28.

The square root of 335872000 is about 18326.8109609937. The cubic root of 335872000 is about 695.1170377230.

The spelling of 335872000 in words is "three hundred thirty-five million, eight hundred seventy-two thousand".