16406400 has 96 divisors (see below), whose sum is σ = 54070200. Its totient is φ = 4372480.

The previous prime is 16406393. The next prime is 16406407. The reversal of 16406400 is 460461.

16406400 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (16406393) and next prime (16406407).

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (16406407) 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, 8746 + ... + 10454.

Almost surely, 2^16406400 is an apocalyptic number.

16406400 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 16406400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27035100).

16406400 is an abundant number, since it is smaller than the sum of its proper divisors (37663800).

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

16406400 is a wasteful number, since it uses less digits than its factorization.

16406400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1736 (or 1719 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

The square root of 16406400 is about 4050.4814528646. The cubic root of 16406400 is about 254.0998635986.

Adding to 16406400 its reverse (460461), we get a palindrome (16866861).

The spelling of 16406400 in words is "sixteen million, four hundred six thousand, four hundred".