16442400 has 288 divisors, whose sum is σ = 62995968. Its totient is φ = 3686400.

The previous prime is 16442399. The next prime is 16442407. The reversal of 16442400 is 424461.

It is a super-3 number, since 3×16442400³ (a number of 23 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (16442407) 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 47 ways as a sum of consecutive naturals, for example, 530385 + ... + 530415.

It is an arithmetic number, because the mean of its divisors is an integer number (218736).

Almost surely, 2^16442400 is an apocalyptic number.

16442400 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 16442400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31497984).

16442400 is an abundant number, since it is smaller than the sum of its proper divisors (46553568).

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

16442400 is a wasteful number, since it uses less digits than its factorization.

16442400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 84 (or 71 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 21.

The square root of 16442400 is about 4054.9229339163. The cubic root of 16442400 is about 254.2855820272.

Adding to 16442400 its reverse (424461), we get a palindrome (16866861).

The spelling of 16442400 in words is "sixteen million, four hundred forty-two thousand, four hundred".