335472 has 40 divisors (see below), whose sum is σ = 900240. Its totient is φ = 107520.

The previous prime is 335459. The next prime is 335473. The reversal of 335472 is 274533.

335472 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 2×335472² = 225082925568, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (335473) 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, 1272 + ... + 1512.

It is an arithmetic number, because the mean of its divisors is an integer number (22506).

2³³⁵⁴⁷² 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 335472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (450120).

335472 is an abundant number, since it is smaller than the sum of its proper divisors (564768).

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

335472 is a wasteful number, since it uses less digits than its factorization.

335472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 281 (or 275 counting only the distinct ones).

The product of its digits is 2520, while the sum is 24.

The square root of 335472 is about 579.1994475135. The cubic root of 335472 is about 69.4840982890.

The spelling of 335472 in words is "three hundred thirty-five thousand, four hundred seventy-two".