1445018400 has 576 divisors, whose sum is σ = 6299596800. Its totient is φ = 312284160.

The previous prime is 1445018389. The next prime is 1445018417. The reversal of 1445018400 is 48105441.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2872549 + ... + 2873051.

It is an arithmetic number, because the mean of its divisors is an integer number (10936800).

Almost surely, 2^1445018400 is an apocalyptic number.

1445018400 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 1445018400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3149798400).

1445018400 is an abundant number, since it is smaller than the sum of its proper divisors (4854578400).

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

1445018400 is a wasteful number, since it uses less digits than its factorization.

1445018400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 558 (or 539 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 27.

The square root of 1445018400 is about 38013.3976382012. The cubic root of 1445018400 is about 1130.5535179458.

The spelling of 1445018400 in words is "one billion, four hundred forty-five million, eighteen thousand, four hundred".