16416456 has 128 divisors (see below), whose sum is σ = 51072000. Its totient is φ = 4292352.

The previous prime is 16416443. The next prime is 16416467. The reversal of 16416456 is 65461461.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 118035 + ... + 118173.

It is an arithmetic number, because the mean of its divisors is an integer number (399000).

Almost surely, 2^16416456 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 16416456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25536000).

16416456 is an abundant number, since it is smaller than the sum of its proper divisors (34655544).

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

16416456 is a wasteful number, since it uses less digits than its factorization.

16416456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 211 (or 207 counting only the distinct ones).

The product of its digits is 17280, while the sum is 33.

The square root of 16416456 is about 4051.7225966248. The cubic root of 16416456 is about 254.1517682688.

It can be divided in two parts, 16416 and 456, that multiplied together give a square (7485696 = 2736²).

The spelling of 16416456 in words is "sixteen million, four hundred sixteen thousand, four hundred fifty-six".