335472768 has 48 divisors (see below), whose sum is σ = 965361150. Its totient is φ = 111823872.

The previous prime is 335472763. The next prime is 335472811. The reversal of 335472768 is 867274533.

335472768 is a `hidden beast` number, since 33 + 547 + 2 + 76 + 8 = 666.

It can be written as a sum of positive squares in only one way, i.e., 284664384 + 50808384 = 16872^2 + 7128^2 .

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-2 number, since 2×335472768² = 225083956139163648, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (335472763) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 144453 + ... + 146756.

Almost surely, 2^335472768 is an apocalyptic number.

It is an amenable number.

335472768 is an abundant number, since it is smaller than the sum of its proper divisors (629888382).

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

335472768 is a wasteful number, since it uses less digits than its factorization.

335472768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 291229 (or 291214 counting only the distinct ones).

The product of its digits is 846720, while the sum is 45.

The square root of 335472768 is about 18315.9157019244. The cubic root of 335472768 is about 694.8415131258.

It can be divided in two parts, 33547 and 2768, that added together give a triangular number (36315 = T₂₆₉).

The spelling of 335472768 in words is "three hundred thirty-five million, four hundred seventy-two thousand, seven hundred sixty-eight".