1445769000 has 320 divisors, whose sum is σ = 5446481040. Its totient is φ = 355622400.

The previous prime is 1445768993. The next prime is 1445769001. The reversal of 1445769000 is 9675441.

It can be written as a sum of positive squares in 8 ways, for example, as 145878084 + 1299890916 = 12078^2 + 36054^2 .

It is a super-2 number, since 2×1445769000² = 4180496002722000000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (1445769001) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 1052314 + ... + 1053686.

Almost surely, 2^1445769000 is an apocalyptic number.

1445769000 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 1445769000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2723240520).

1445769000 is an abundant number, since it is smaller than the sum of its proper divisors (4000712040).

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

1445769000 is a wasteful number, since it uses less digits than its factorization.

1445769000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1419 (or 1396 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The square root of 1445769000 is about 38023.2691913781. The cubic root of 1445769000 is about 1130.7492355417.

The spelling of 1445769000 in words is "one billion, four hundred forty-five million, seven hundred sixty-nine thousand".