16407144 has 64 divisors (see below), whose sum is σ = 49089600. Its totient is φ = 5047488.

The previous prime is 16407113. The next prime is 16407173. The reversal of 16407144 is 44170461.

16407144 is a `hidden beast` number, since 1 + 640 + 7 + 14 + 4 = 666.

It is a super-4 number, since 4×16407144⁴ (a number of 30 digits) contains 4444 as substring.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 114 + ... + 5729.

It is an arithmetic number, because the mean of its divisors is an integer number (767025).

Almost surely, 2^16407144 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 16407144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24544800).

16407144 is an abundant number, since it is smaller than the sum of its proper divisors (32682456).

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

16407144 is a wasteful number, since it uses less digits than its factorization.

16407144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5871 (or 5861 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The square root of 16407144 is about 4050.5732927575. The cubic root of 16407144 is about 254.1037045273.

The spelling of 16407144 in words is "sixteen million, four hundred seven thousand, one hundred forty-four".