1445418000 has 640 divisors, whose sum is σ = 5849625600. Its totient is φ = 338688000.

The previous prime is 1445417983. The next prime is 1445418011. The reversal of 1445418000 is 8145441.

It is a happy number.

1445418000 is a `hidden beast` number, since 1 + 44 + 541 + 80 + 0 + 0 = 666.

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 127 ways as a sum of consecutive naturals, for example, 20357965 + ... + 20358035.

It is an arithmetic number, because the mean of its divisors is an integer number (9140040).

Almost surely, 2^1445418000 is an apocalyptic number.

1445418000 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 1445418000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2924812800).

1445418000 is an abundant number, since it is smaller than the sum of its proper divisors (4404207600).

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

1445418000 is a wasteful number, since it uses less digits than its factorization.

1445418000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 145 (or 123 counting only the distinct ones).

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

The square root of 1445418000 is about 38018.6533164972. The cubic root of 1445418000 is about 1130.6577213591.

The spelling of 1445418000 in words is "one billion, four hundred forty-five million, four hundred eighteen thousand".