1445283840 has 768 divisors, whose sum is σ = 6340239360. Its totient is φ = 271319040.

The previous prime is 1445283823. The next prime is 1445283859. The reversal of 1445283840 is 483825441.

It is a tau number, because it is divible by the number of its divisors (768).

It is a Harshad number since it is a multiple of its sum of digits (39).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 30750697 + ... + 30750743.

It is an arithmetic number, because the mean of its divisors is an integer number (8255520).

Almost surely, 2^1445283840 is an apocalyptic number.

1445283840 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 1445283840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3170119680).

1445283840 is an abundant number, since it is smaller than the sum of its proper divisors (4894955520).

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

1445283840 is a wasteful number, since it uses less digits than its factorization.

1445283840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 108 (or 88 counting only the distinct ones).

The product of its (nonzero) digits is 122880, while the sum is 39.

The square root of 1445283840 is about 38016.8888784971. Note that the first 4 decimals coincide. The cubic root of 1445283840 is about 1130.6227386913.

The spelling of 1445283840 in words is "one billion, four hundred forty-five million, two hundred eighty-three thousand, eight hundred forty".