1450214400 has 264 divisors, whose sum is σ = 5007518784. Its totient is φ = 369459200.

The previous prime is 1450214351. The next prime is 1450214407. The reversal of 1450214400 is 44120541.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (1450214407) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1765990 + ... + 1766810.

Almost surely, 2^1450214400 is an apocalyptic number.

1450214400 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 1450214400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2503759392).

1450214400 is an abundant number, since it is smaller than the sum of its proper divisors (3557304384).

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

1450214400 is a wasteful number, since it uses less digits than its factorization.

1450214400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 877 (or 854 counting only the distinct ones).

The product of its (nonzero) digits is 640, while the sum is 21.

The square root of 1450214400 is about 38081.6806351821. The cubic root of 1450214400 is about 1131.9069791668.

Adding to 1450214400 its reverse (44120541), we get a palindrome (1494334941).

The spelling of 1450214400 in words is "one billion, four hundred fifty million, two hundred fourteen thousand, four hundred".