16429440 has 128 divisors (see below), whose sum is σ = 53856000. Its totient is φ = 4257792.

The previous prime is 16429423. The next prime is 16429447. The reversal of 16429440 is 4492461.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 16429398 and 16429407.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (16429447) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 82461 + ... + 82659.

It is an arithmetic number, because the mean of its divisors is an integer number (420750).

Almost surely, 2^16429440 is an apocalyptic number.

16429440 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 16429440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26928000).

16429440 is an abundant number, since it is smaller than the sum of its proper divisors (37426560).

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

16429440 is a wasteful number, since it uses less digits than its factorization.

16429440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 264 (or 252 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 30.

The square root of 16429440 is about 4053.3245613940. The cubic root of 16429440 is about 254.2187546505.

The spelling of 16429440 in words is "sixteen million, four hundred twenty-nine thousand, four hundred forty".