16790400 has 288 divisors, whose sum is σ = 66591720. Its totient is φ = 3993600.

The previous prime is 16790393. The next prime is 16790413. The reversal of 16790400 is 409761.

It is a tau number, because it is divible by the number of its divisors (288).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 316774 + ... + 316826.

Almost surely, 2^16790400 is an apocalyptic number.

16790400 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 16790400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33295860).

16790400 is an abundant number, since it is smaller than the sum of its proper divisors (49801320).

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

16790400 is a wasteful number, since it uses less digits than its factorization.

16790400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 94 (or 74 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 27.

The square root of 16790400 is about 4097.6090589513. The cubic root of 16790400 is about 256.0670397342.

The spelling of 16790400 in words is "sixteen million, seven hundred ninety thousand, four hundred".