1332904320 has 384 divisors, whose sum is σ = 5093431200. Its totient is φ = 318504960.

The previous prime is 1332904319. The next prime is 1332904327. The reversal of 1332904320 is 234092331.

It is a happy number.

1332904320 is a `hidden beast` number, since 1 + 332 + 9 + 0 + 4 + 320 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1332904327) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6906144 + ... + 6906336.

Almost surely, 2^1332904320 is an apocalyptic number.

1332904320 is a gapful number since it is divisible by the number (10) 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 1332904320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2546715600).

1332904320 is an abundant number, since it is smaller than the sum of its proper divisors (3760526880).

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

1332904320 is a wasteful number, since it uses less digits than its factorization.

1332904320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 338 (or 323 counting only the distinct ones).

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

The square root of 1332904320 is about 36508.9621873863. The cubic root of 1332904320 is about 1100.5243560670.

Adding to 1332904320 its reverse (234092331), we get a palindrome (1566996651).

The spelling of 1332904320 in words is "one billion, three hundred thirty-two million, nine hundred four thousand, three hundred twenty".