1450213200 has 240 divisors, whose sum is σ = 5273352960. Its totient is φ = 378362880.

The previous prime is 1450213199. The next prime is 1450213213. The reversal of 1450213200 is 23120541.

1450213200 is a `hidden beast` number, since 1 + 450 + 2 + 13 + 200 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 506172 + ... + 509028.

It is an arithmetic number, because the mean of its divisors is an integer number (21972304).

Almost surely, 2^1450213200 is an apocalyptic number.

1450213200 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 1450213200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2636676480).

1450213200 is an abundant number, since it is smaller than the sum of its proper divisors (3823139760).

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

1450213200 is a wasteful number, since it uses less digits than its factorization.

1450213200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2931 (or 2914 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 1450213200 is about 38081.6648795716. The cubic root of 1450213200 is about 1131.9066669627.

Adding to 1450213200 its reverse (23120541), we get a palindrome (1473333741).

The spelling of 1450213200 in words is "one billion, four hundred fifty million, two hundred thirteen thousand, two hundred".