14432400 has 180 divisors, whose sum is σ = 52970320. Its totient is φ = 3628800.

The previous prime is 14432399. The next prime is 14432413. The reversal of 14432400 is 423441.

It is a Cunningham number, because it is equal to 3799²-1.

It is a tau number, because it is divible by the number of its divisors (180).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 68295 + ... + 68505.

Almost surely, 2^14432400 is an apocalyptic number.

14432400 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 14432400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26485160).

14432400 is an abundant number, since it is smaller than the sum of its proper divisors (38537920).

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

14432400 is a wasteful number, since it uses less digits than its factorization.

14432400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 254 (or 240 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 14432400 is about 3798.9998683864. Note that the first 3 decimals coincide. The cubic root of 14432400 is about 243.4704092041.

Adding to 14432400 its reverse (423441), we get a palindrome (14855841).

It can be divided in two parts, 144 and 32400, that multiplied together give a square (4665600 = 2160²).

The spelling of 14432400 in words is "fourteen million, four hundred thirty-two thousand, four hundred".