1445713920 has 576 divisors, whose sum is σ = 6010018560. Its totient is φ = 326467584.

The previous prime is 1445713883. The next prime is 1445713931. The reversal of 1445713920 is 293175441.

It is a tau number, because it is divible by the number of its divisors (576).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 17418199 + ... + 17418281.

It is an arithmetic number, because the mean of its divisors is an integer number (10434060).

Almost surely, 2^1445713920 is an apocalyptic number.

1445713920 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 1445713920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3005009280).

1445713920 is an abundant number, since it is smaller than the sum of its proper divisors (4564304640).

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

1445713920 is an frugal number, since it uses more digits than its factorization.

1445713920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 132 (or 100 counting only the distinct ones).

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

The square root of 1445713920 is about 38022.5448911564. The cubic root of 1445713920 is about 1130.7348758345.

The spelling of 1445713920 in words is "one billion, four hundred forty-five million, seven hundred thirteen thousand, nine hundred twenty".