445242020520 has 512 divisors, whose sum is σ = 1511234496000. Its totient is φ = 104892170240.

The previous prime is 445242020501. The next prime is 445242020543. The reversal of 445242020520 is 25020242544.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1261308664 + ... + 1261309016.

It is an arithmetic number, because the mean of its divisors is an integer number (2951629875).

Almost surely, 2^445242020520 is an apocalyptic number.

445242020520 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 445242020520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (755617248000).

445242020520 is an abundant number, since it is smaller than the sum of its proper divisors (1065992475480).

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

445242020520 is a wasteful number, since it uses less digits than its factorization.

445242020520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 602 (or 576 counting only the distinct ones).

The product of its (nonzero) digits is 25600, while the sum is 30.

The spelling of 445242020520 in words is "four hundred forty-five billion, two hundred forty-two million, twenty thousand, five hundred twenty".