332364240 has 120 divisors (see below), whose sum is σ = 1202084520. Its totient is φ = 81810432.

The previous prime is 332364239. The next prime is 332364247. The reversal of 332364240 is 42463233.

It is a happy number.

332364240 is a `hidden beast` number, since 3 + 3 + 236 + 424 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 3594816 + 328769424 = 1896^2 + 18132^2 .

It is a tau number, because it is divible by the number of its divisors (120).

It is a super-2 number, since 2×332364240² = 220931976061555200, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (332364247) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 8395 + ... + 27114.

It is an arithmetic number, because the mean of its divisors is an integer number (10017371).

Almost surely, 2^332364240 is an apocalyptic number.

332364240 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

332364240 is an abundant number, since it is smaller than the sum of its proper divisors (869720280).

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

332364240 is a wasteful number, since it uses less digits than its factorization.

332364240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35541 (or 35532 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 27.

The square root of 332364240 is about 18230.8595518697. The cubic root of 332364240 is about 692.6886903437.

The spelling of 332364240 in words is "three hundred thirty-two million, three hundred sixty-four thousand, two hundred forty".