1414304320 has 224 divisors, whose sum is σ = 4088318976. Its totient is φ = 458956800.

The previous prime is 1414304303. The next prime is 1414304327. The reversal of 1414304320 is 234034141.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a junction number, because it is equal to n+sod(n) for n = 1414304291 and 1414304300.

It is not an unprimeable number, because it can be changed into a prime (1414304327) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1418062 + ... + 1419058.

It is an arithmetic number, because the mean of its divisors is an integer number (18251424).

Almost surely, 2^1414304320 is an apocalyptic number.

1414304320 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 1414304320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2044159488).

1414304320 is an abundant number, since it is smaller than the sum of its proper divisors (2674014656).

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

1414304320 is a wasteful number, since it uses less digits than its factorization.

1414304320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1069 (or 1059 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 22.

The square root of 1414304320 is about 37607.2376012916. The cubic root of 1414304320 is about 1122.4860592545.

Adding to 1414304320 its reverse (234034141), we get a palindrome (1648338461).

The spelling of 1414304320 in words is "one billion, four hundred fourteen million, three hundred four thousand, three hundred twenty".