16434900 has 90 divisors (see below), whose sum is σ = 53301710. Its totient is φ = 4380480.

The previous prime is 16434889. The next prime is 16434959. The reversal of 16434900 is 943461.

It can be written as a sum of positive squares in 3 ways, for example, as 5225796 + 11209104 = 2286^2 + 3348^2 .

It is a tau number, because it is divible by the number of its divisors (90).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 7086 + ... + 9114.

Almost surely, 2^16434900 is an apocalyptic number.

16434900 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 16434900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26650855).

16434900 is an abundant number, since it is smaller than the sum of its proper divisors (36866810).

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

16434900 is a wasteful number, since it uses less digits than its factorization.

16434900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2055 (or 2039 counting only the distinct ones).

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

The square root of 16434900 is about 4053.9980266399. The cubic root of 16434900 is about 254.2469130593.

The spelling of 16434900 in words is "sixteen million, four hundred thirty-four thousand, nine hundred".