445140360 has 320 divisors, whose sum is σ = 1801641600. Its totient is φ = 96297984.

The previous prime is 445140347. The next prime is 445140361. The reversal of 445140360 is 63041544.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (445140361) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 430404 + ... + 431436.

It is an arithmetic number, because the mean of its divisors is an integer number (5630130).

Almost surely, 2^445140360 is an apocalyptic number.

445140360 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 445140360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (900820800).

445140360 is an abundant number, since it is smaller than the sum of its proper divisors (1356501240).

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

445140360 is a wasteful number, since it uses less digits than its factorization.

445140360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1082 (or 1069 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

The square root of 445140360 is about 21098.3496984954. The cubic root of 445140360 is about 763.5409328798.

The spelling of 445140360 in words is "four hundred forty-five million, one hundred forty thousand, three hundred sixty".