16330400 has 72 divisors (see below), whose sum is σ = 40427100. Its totient is φ = 6440960.

The previous prime is 16330381. The next prime is 16330409. The reversal of 16330400 is 403361.

16330400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 6 ways, for example, as 3341584 + 12988816 = 1828^2 + 3604^2 .

It is not an unprimeable number, because it can be changed into a prime (16330409) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 109526 + ... + 109674.

Almost surely, 2^16330400 is an apocalyptic number.

16330400 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 16330400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20213550).

16330400 is an abundant number, since it is smaller than the sum of its proper divisors (24096700).

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

16330400 is a wasteful number, since it uses less digits than its factorization.

16330400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 306 (or 293 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 17.

The square root of 16330400 is about 4041.0889621487. The cubic root of 16330400 is about 253.7068973194.

Adding to 16330400 its reverse (403361), we get a palindrome (16733761).

The spelling of 16330400 in words is "sixteen million, three hundred thirty thousand, four hundred".