332947440 has 240 divisors, whose sum is σ = 1319725056. Its totient is φ = 73612800.

The previous prime is 332947427. The next prime is 332947441. The reversal of 332947440 is 44749233.

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-2 number, since 2×332947440² = 221707995605107200, which contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 332947395 and 332947404.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (332947441) 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 47 ways as a sum of consecutive naturals, for example, 155175 + ... + 157305.

Almost surely, 2^332947440 is an apocalyptic number.

332947440 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 332947440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (659862528).

332947440 is an abundant number, since it is smaller than the sum of its proper divisors (986777616).

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

332947440 is a wasteful number, since it uses less digits than its factorization.

332947440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2188 (or 2179 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 36.

The square root of 332947440 is about 18246.8473989344. The cubic root of 332947440 is about 693.0936075398.

The spelling of 332947440 in words is "three hundred thirty-two million, nine hundred forty-seven thousand, four hundred forty".