16402000 has 80 divisors (see below), whose sum is σ = 40622400. Its totient is φ = 6403200.

The previous prime is 16401977. The next prime is 16402003. The reversal of 16402000 is 20461.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (16402003) 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, 117931 + ... + 118069.

It is an arithmetic number, because the mean of its divisors is an integer number (507780).

Almost surely, 2^16402000 is an apocalyptic number.

16402000 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 16402000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20311200).

16402000 is an abundant number, since it is smaller than the sum of its proper divisors (24220400).

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

16402000 is a wasteful number, since it uses less digits than its factorization.

16402000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 221 (or 205 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 13.

The square root of 16402000 is about 4049.9382711345. The cubic root of 16402000 is about 254.0771460541.

Adding to 16402000 its reverse (20461), we get a palindrome (16422461).

The spelling of 16402000 in words is "sixteen million, four hundred two thousand".