1445829000 has 384 divisors, whose sum is σ = 5676652800. Its totient is φ = 299904000.

The previous prime is 1445828999. The next prime is 1445829031. The reversal of 1445829000 is 9285441.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

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, 2540716 + ... + 2541284.

It is an arithmetic number, because the mean of its divisors is an integer number (14782950).

Almost surely, 2^1445829000 is an apocalyptic number.

1445829000 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 1445829000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2838326400).

1445829000 is an abundant number, since it is smaller than the sum of its proper divisors (4230823800).

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

1445829000 is a wasteful number, since it uses less digits than its factorization.

1445829000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 622 (or 597 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 33.

The square root of 1445829000 is about 38024.0581737405. The cubic root of 1445829000 is about 1130.7648775093.

The spelling of 1445829000 in words is "one billion, four hundred forty-five million, eight hundred twenty-nine thousand".