16484000 has 96 divisors (see below), whose sum is σ = 43754256. Its totient is φ = 6067200.

The previous prime is 16483997. The next prime is 16484003. The reversal of 16484000 is 48461.

It is a happy number.

16484000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (16483997) and next prime (16484003).

It can be written as a sum of positive squares in 8 ways, for example, as 1336336 + 15147664 = 1156^2 + 3892^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (16484003) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 51842 + ... + 52158.

Almost surely, 2^16484000 is an apocalyptic number.

16484000 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 16484000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21877128).

16484000 is an abundant number, since it is smaller than the sum of its proper divisors (27270256).

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

16484000 is a wasteful number, since it uses less digits than its factorization.

16484000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 355 (or 337 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 23.

The square root of 16484000 is about 4060.0492607849. The cubic root of 16484000 is about 254.4998526843.

The spelling of 16484000 in words is "sixteen million, four hundred eighty-four thousand".