16430400 has 252 divisors, whose sum is σ = 67149472. Its totient is φ = 3732480.

The previous prime is 16430389. The next prime is 16430419. The reversal of 16430400 is 403461.

16430400 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 a tau number, because it is divible by the number of its divisors (252).

It is a Harshad number since it is a multiple of its sum of digits (18).

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, 100719 + ... + 100881.

Almost surely, 2^16430400 is an apocalyptic number.

16430400 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 16430400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33574736).

16430400 is an abundant number, since it is smaller than the sum of its proper divisors (50719072).

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

16430400 is a wasteful number, since it uses less digits than its factorization.

16430400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 198 (or 180 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 16430400 is about 4053.4429809731. The cubic root of 16430400 is about 254.2237060315.

Adding to 16430400 its reverse (403461), we get a palindrome (16833861).

The spelling of 16430400 in words is "sixteen million, four hundred thirty thousand, four hundred".