16230400 has 72 divisors (see below), whose sum is σ = 40368510. Its totient is φ = 6471680.

The previous prime is 16230377. The next prime is 16230407. The reversal of 16230400 is 403261.

It can be written as a sum of positive squares in 3 ways, for example, as 7750656 + 8479744 = 2784^2 + 2912^2 .

It is a Harshad number since it is a multiple of its sum of digits (16).

It is not an unprimeable number, because it can be changed into a prime (16230407) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 51042 + ... + 51358.

Almost surely, 2^16230400 is an apocalyptic number.

16230400 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 16230400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20184255).

16230400 is an abundant number, since it is smaller than the sum of its proper divisors (24138110).

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

16230400 is an equidigital number, since it uses as much as digits as its factorization.

16230400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 349 (or 324 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

The square root of 16230400 is about 4028.6970598445. The cubic root of 16230400 is about 253.1879744752.

Adding to 16230400 its reverse (403261), we get a palindrome (16633661).

It can be divided in two parts, 16 and 230400, that multiplied together give a square (3686400 = 1920²).

The spelling of 16230400 in words is "sixteen million, two hundred thirty thousand, four hundred".