16464000 has 256 divisors, whose sum is σ = 63648000. Its totient is φ = 3763200.

The previous prime is 16463999. The next prime is 16464011. The reversal of 16464000 is 46461.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a zygodrome in base 14.

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 2351997 + ... + 2352003.

It is an arithmetic number, because the mean of its divisors is an integer number (248625).

Almost surely, 2^16464000 is an apocalyptic number.

16464000 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 16464000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31824000).

16464000 is an abundant number, since it is smaller than the sum of its proper divisors (47184000).

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

16464000 is an frugal number, since it uses more digits than its factorization.

16464000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 53 (or 17 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

The square root of 16464000 is about 4057.5854889330. The cubic root of 16464000 is about 254.3968829965.

The spelling of 16464000 in words is "sixteen million, four hundred sixty-four thousand".