332414240 has 96 divisors (see below), whose sum is σ = 838978560. Its totient is φ = 124185600.

The previous prime is 332414233. The next prime is 332414249. The reversal of 332414240 is 42414233.

It is a super-2 number, since 2×332414240² = 220998453909555200, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (332414249) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 142685 + ... + 144995.

It is an arithmetic number, because the mean of its divisors is an integer number (8739360).

Almost surely, 2^332414240 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 332414240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (419489280).

332414240 is an abundant number, since it is smaller than the sum of its proper divisors (506564320).

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

332414240 is a wasteful number, since it uses less digits than its factorization.

332414240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2386 (or 2378 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 23.

The square root of 332414240 is about 18232.2308015229. The cubic root of 332414240 is about 692.7234240221.

Adding to 332414240 its reverse (42414233), we get a palindrome (374828473).

The spelling of 332414240 in words is "three hundred thirty-two million, four hundred fourteen thousand, two hundred forty".