335988900 has 243 divisors, whose sum is σ = 1165160451. Its totient is φ = 80945280.

The previous prime is 335988859. The next prime is 335988929. The reversal of 335988900 is 9889533.

The square root of 335988900 is 18330.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 86601636 + 249387264 = 9306^2 + 15792^2 .

It is a super-2 number, since 2×335988900² = 225777081846420000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 7148677 + ... + 7148723.

Almost surely, 2^335988900 is an apocalyptic number.

335988900 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

335988900 is the 18330-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 335988900

335988900 is an abundant number, since it is smaller than the sum of its proper divisors (829171551).

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

335988900 is a wasteful number, since it uses less digits than its factorization.

335988900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 140 (or 70 counting only the distinct ones).

The product of its (nonzero) digits is 233280, while the sum is 45.

The cubic root of 335988900 is about 695.1976733581.

The spelling of 335988900 in words is "three hundred thirty-five million, nine hundred eighty-eight thousand, nine hundred".