445380096 has 160 divisors (see below), whose sum is σ = 1415766528. Its totient is φ = 121651200.

The previous prime is 445380079. The next prime is 445380113. The reversal of 445380096 is 690083544.

It is an interprime number because it is at equal distance from previous prime (445380079) and next prime (445380113).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 246396 + ... + 248196.

Almost surely, 2^445380096 is an apocalyptic number.

445380096 is a gapful number since it is divisible by the number (46) 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 445380096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (707883264).

445380096 is an abundant number, since it is smaller than the sum of its proper divisors (970386432).

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

445380096 is a wasteful number, since it uses less digits than its factorization.

445380096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1852 (or 1836 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 39.

The square root of 445380096 is about 21104.0303259828. The cubic root of 445380096 is about 763.6779798388.

The spelling of 445380096 in words is "four hundred forty-five million, three hundred eighty thousand, ninety-six".