332904416 has 48 divisors (see below), whose sum is σ = 708133104. Its totient is φ = 153145344.

The previous prime is 332904413. The next prime is 332904479. The reversal of 332904416 is 614409233.

It is a super-2 number, since 2×332904416² = 221650700384602112, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (332904413) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 145715 + ... + 147981.

It is an arithmetic number, because the mean of its divisors is an integer number (14752773).

Almost surely, 2^332904416 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 332904416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (354066552).

332904416 is an abundant number, since it is smaller than the sum of its proper divisors (375228688).

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

332904416 is a wasteful number, since it uses less digits than its factorization.

332904416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2643 (or 2635 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 32.

The square root of 332904416 is about 18245.6684174628. The cubic root of 332904416 is about 693.0637520328.

The spelling of 332904416 in words is "three hundred thirty-two million, nine hundred four thousand, four hundred sixteen".