445673760 has 384 divisors, whose sum is σ = 1718599680. Its totient is φ = 94887936.

The previous prime is 445673759. The next prime is 445673771. The reversal of 445673760 is 67376544.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5641401 + ... + 5641479.

It is an arithmetic number, because the mean of its divisors is an integer number (4475520).

Almost surely, 2^445673760 is an apocalyptic number.

445673760 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 445673760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (859299840).

445673760 is an abundant number, since it is smaller than the sum of its proper divisors (1272925920).

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

445673760 is a wasteful number, since it uses less digits than its factorization.

445673760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 200 (or 192 counting only the distinct ones).

The product of its (nonzero) digits is 423360, while the sum is 42.

The square root of 445673760 is about 21110.9867130838. The cubic root of 445673760 is about 763.8457881597.

The spelling of 445673760 in words is "four hundred forty-five million, six hundred seventy-three thousand, seven hundred sixty".