16394400 has 360 divisors, whose sum is σ = 68058144. Its totient is φ = 3801600.

The previous prime is 16394393. The next prime is 16394419. The reversal of 16394400 is 449361.

It is a Cunningham number, because it is equal to 4049²-1.

It is a tau number, because it is divible by the number of its divisors (360).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 712789 + ... + 712811.

Almost surely, 2^16394400 is an apocalyptic number.

16394400 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 16394400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34029072).

16394400 is an abundant number, since it is smaller than the sum of its proper divisors (51663744).

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

16394400 is a wasteful number, since it uses less digits than its factorization.

16394400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 66 (or 44 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The square root of 16394400 is about 4048.9998765127. Note that the first 3 decimals coincide. The cubic root of 16394400 is about 254.0378970879.

The spelling of 16394400 in words is "sixteen million, three hundred ninety-four thousand, four hundred".