445250557080 has 768 divisors, whose sum is σ = 1807045044480. Its totient is φ = 92748644352.

The previous prime is 445250557067. The next prime is 445250557091. The reversal of 445250557080 is 80755052544.

445250557080 is a `hidden beast` number, since 4 + 4 + 525 + 0 + 55 + 70 + 8 + 0 = 666.

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 polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 407365014 + ... + 407366106.

It is an arithmetic number, because the mean of its divisors is an integer number (2352923235).

Almost surely, 2^445250557080 is an apocalyptic number.

445250557080 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 445250557080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (903522522240).

445250557080 is an abundant number, since it is smaller than the sum of its proper divisors (1361794487400).

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

445250557080 is a wasteful number, since it uses less digits than its factorization.

445250557080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1428 (or 1421 counting only the distinct ones).

The product of its (nonzero) digits is 1120000, while the sum is 45.

The spelling of 445250557080 in words is "four hundred forty-five billion, two hundred fifty million, five hundred fifty-seven thousand, eighty".