445930440480 has 960 divisors, whose sum is σ = 1864998051840. Its totient is φ = 98228422656.

The previous prime is 445930440463. The next prime is 445930440491. The reversal of 445930440480 is 84044039544.

445930440480 is a `hidden beast` number, since 4 + 45 + 93 + 0 + 4 + 40 + 480 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 308175117 + ... + 308176563.

It is an arithmetic number, because the mean of its divisors is an integer number (1942706304).

Almost surely, 2^445930440480 is an apocalyptic number.

445930440480 is a gapful number since it is divisible by the number (40) 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 445930440480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (932499025920).

445930440480 is an abundant number, since it is smaller than the sum of its proper divisors (1419067611360).

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

445930440480 is a wasteful number, since it uses less digits than its factorization.

445930440480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1603 (or 1586 counting only the distinct ones).

The product of its (nonzero) digits is 1105920, while the sum is 45.

The spelling of 445930440480 in words is "four hundred forty-five billion, nine hundred thirty million, four hundred forty thousand, four hundred eighty".