333149040 has 480 divisors, whose sum is σ = 1392768000. Its totient is φ = 71124480.

The previous prime is 333149023. The next prime is 333149077. The reversal of 333149040 is 40941333.

It is a super-2 number, since 2×333149040² = 221976565705843200, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 333148995 and 333149013.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4692205 + ... + 4692275.

It is an arithmetic number, because the mean of its divisors is an integer number (2901600).

Almost surely, 2^333149040 is an apocalyptic number.

333149040 is a gapful number since it is divisible by the number (30) 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 333149040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (696384000).

333149040 is an abundant number, since it is smaller than the sum of its proper divisors (1059618960).

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

333149040 is a wasteful number, since it uses less digits than its factorization.

333149040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 130 (or 107 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 27.

The square root of 333149040 is about 18252.3708049119. The cubic root of 333149040 is about 693.2334689336.

The spelling of 333149040 in words is "three hundred thirty-three million, one hundred forty-nine thousand, forty".