1445729760 has 288 divisors, whose sum is σ = 5296505760. Its totient is φ = 357986304.

The previous prime is 1445729693. The next prime is 1445729809. The reversal of 1445729760 is 679275441.

1445729760 is a `hidden beast` number, since 1 + 4 + 4 + 572 + 9 + 76 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1449582 + ... + 1450578.

It is an arithmetic number, because the mean of its divisors is an integer number (18390645).

Almost surely, 2^1445729760 is an apocalyptic number.

1445729760 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 1445729760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2648252880).

1445729760 is an abundant number, since it is smaller than the sum of its proper divisors (3850776000).

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

1445729760 is a wasteful number, since it uses less digits than its factorization.

1445729760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1090 (or 1079 counting only the distinct ones).

The product of its (nonzero) digits is 423360, while the sum is 45.

The square root of 1445729760 is about 38022.7531880583. The cubic root of 1445729760 is about 1130.7390054608.

The spelling of 1445729760 in words is "one billion, four hundred forty-five million, seven hundred twenty-nine thousand, seven hundred sixty".