16478400 has 84 divisors (see below), whose sum is σ = 54078632. Its totient is φ = 4392960.

The previous prime is 16478383. The next prime is 16478411. The reversal of 16478400 is 487461.

16478400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3084 + ... + 6516.

Almost surely, 2^16478400 is an apocalyptic number.

16478400 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 16478400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27039316).

16478400 is an abundant number, since it is smaller than the sum of its proper divisors (37600232).

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

16478400 is a wasteful number, since it uses less digits than its factorization.

16478400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3458 (or 3443 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 30.

The square root of 16478400 is about 4059.3595553979. The cubic root of 16478400 is about 254.4710295711.

The spelling of 16478400 in words is "sixteen million, four hundred seventy-eight thousand, four hundred".