335479872 has 252 divisors, whose sum is σ = 1123376976. Its totient is φ = 88058880.

The previous prime is 335479783. The next prime is 335479889. The reversal of 335479872 is 278974533.

It is a super-3 number, since 3×335479872³ (a number of 27 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1589847 + ... + 1590057.

Almost surely, 2^335479872 is an apocalyptic number.

335479872 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 335479872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (561688488).

335479872 is an abundant number, since it is smaller than the sum of its proper divisors (787897104).

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

335479872 is a wasteful number, since it uses less digits than its factorization.

335479872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 266 (or 236 counting only the distinct ones).

The product of its digits is 1270080, while the sum is 48.

The square root of 335479872 is about 18316.1096305957. The cubic root of 335479872 is about 694.8464177656.

The spelling of 335479872 in words is "three hundred thirty-five million, four hundred seventy-nine thousand, eight hundred seventy-two".