333238464 has 168 divisors, whose sum is σ = 1038465792. Its totient is φ = 101560320.

The previous prime is 333238457. The next prime is 333238481. The reversal of 333238464 is 464832333.

It is a super-2 number, since 2×333238464² = 222095747778158592, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

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 23 ways as a sum of consecutive naturals, for example, 1430092 + ... + 1430324.

It is an arithmetic number, because the mean of its divisors is an integer number (6181344).

Almost surely, 2^333238464 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 333238464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (519232896).

333238464 is an abundant number, since it is smaller than the sum of its proper divisors (705227328).

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

333238464 is a wasteful number, since it uses less digits than its factorization.

333238464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 455 (or 442 counting only the distinct ones).

The product of its digits is 124416, while the sum is 36.

The square root of 333238464 is about 18254.8202949248. The cubic root of 333238464 is about 693.2954893874.

The spelling of 333238464 in words is "three hundred thirty-three million, two hundred thirty-eight thousand, four hundred sixty-four".