445413283392 has 672 divisors, whose sum is σ = 1634775146496. Its totient is φ = 105360998400.

The previous prime is 445413283261. The next prime is 445413283421. The reversal of 445413283392 is 293382314544.

It is a tau number, because it is divible by the number of its divisors (672).

It is a hoax number, since the sum of its digits (48) coincides with the sum of the digits of its distinct prime factors.

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

It is an unprimeable number.

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 95 ways as a sum of consecutive naturals, for example, 54534093 + ... + 54542259.

Almost surely, 2^445413283392 is an apocalyptic number.

445413283392 is a gapful number since it is divisible by the number (42) 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 445413283392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (817387573248).

445413283392 is an abundant number, since it is smaller than the sum of its proper divisors (1189361863104).

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

445413283392 is a wasteful number, since it uses less digits than its factorization.

445413283392 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8255 (or 8238 counting only the distinct ones).

The product of its digits is 2488320, while the sum is 48.

The spelling of 445413283392 in words is "four hundred forty-five billion, four hundred thirteen million, two hundred eighty-three thousand, three hundred ninety-two".