445436247360 has 336 divisors, whose sum is σ = 1536150522816. Its totient is φ = 109307068416.

The previous prime is 445436247359. The next prime is 445436247367. The reversal of 445436247360 is 63742634544.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (445436247367) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 54670807 + ... + 54678953.

It is an arithmetic number, because the mean of its divisors is an integer number (4571876556).

Almost surely, 2^445436247360 is an apocalyptic number.

445436247360 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 445436247360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (768075261408).

445436247360 is an abundant number, since it is smaller than the sum of its proper divisors (1090714275456).

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

445436247360 is a wasteful number, since it uses less digits than its factorization.

445436247360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8530 (or 8507 counting only the distinct ones).

The product of its (nonzero) digits is 5806080, while the sum is 48.

The spelling of 445436247360 in words is "four hundred forty-five billion, four hundred thirty-six million, two hundred forty-seven thousand, three hundred sixty".