1445530400 has 144 divisors (see below), whose sum is σ = 3765837096. Its totient is φ = 539934720.

The previous prime is 1445530397. The next prime is 1445530453. The reversal of 1445530400 is 40355441.

It can be written as a sum of positive squares in 12 ways, for example, as 524043664 + 921486736 = 22892^2 + 30356^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 1445530400.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2134862 + ... + 2135538.

Almost surely, 2^1445530400 is an apocalyptic number.

1445530400 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 1445530400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1882918548).

1445530400 is an abundant number, since it is smaller than the sum of its proper divisors (2320306696).

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

1445530400 is a wasteful number, since it uses less digits than its factorization.

1445530400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 871 (or 858 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 26.

The square root of 1445530400 is about 38020.1315095043. The cubic root of 1445530400 is about 1130.6870283678.

Adding to 1445530400 its reverse (40355441), we get a palindrome (1485885841).

The spelling of 1445530400 in words is "one billion, four hundred forty-five million, five hundred thirty thousand, four hundred".