445146768 has 240 divisors, whose sum is σ = 1467977472. Its totient is φ = 124416000.

The previous prime is 445146749. The next prime is 445146769. The reversal of 445146768 is 867641544.

445146768 is a `hidden beast` number, since 445 + 146 + 7 + 68 = 666.

It is not an unprimeable number, because it can be changed into a prime (445146769) 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 47 ways as a sum of consecutive naturals, for example, 1642473 + ... + 1642743.

Almost surely, 2^445146768 is an apocalyptic number.

445146768 is a gapful number since it is divisible by the number (48) 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 445146768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (733988736).

445146768 is an abundant number, since it is smaller than the sum of its proper divisors (1022830704).

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

445146768 is a wasteful number, since it uses less digits than its factorization.

445146768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 374 (or 365 counting only the distinct ones).

The product of its digits is 645120, while the sum is 45.

The square root of 445146768 is about 21098.5015581676. The cubic root of 445146768 is about 763.5445967031.

The spelling of 445146768 in words is "four hundred forty-five million, one hundred forty-six thousand, seven hundred sixty-eight".