1445622400 has 96 divisors (see below), whose sum is σ = 3586466880. Its totient is φ = 575769600.

The previous prime is 1445622383. The next prime is 1445622413. The reversal of 1445622400 is 42265441.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 866367 + ... + 868033.

It is an arithmetic number, because the mean of its divisors is an integer number (37359030).

Almost surely, 2^1445622400 is an apocalyptic number.

1445622400 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 1445622400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1793233440).

1445622400 is an abundant number, since it is smaller than the sum of its proper divisors (2140844480).

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

1445622400 is a wasteful number, since it uses less digits than its factorization.

1445622400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1962 (or 1945 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 28.

The square root of 1445622400 is about 38021.3413756012. The cubic root of 1445622400 is about 1130.7110151803.

Adding to 1445622400 its reverse (42265441), we get a palindrome (1487887841).

It can be divided in two parts, 14456 and 22400, that added together give a triangular number (36856 = T₂₇₁).

The spelling of 1445622400 in words is "one billion, four hundred forty-five million, six hundred twenty-two thousand, four hundred".