445497433920 has 2240 divisors, whose sum is σ = 2103090739200. Its totient is φ = 86812508160.

The previous prime is 445497433873. The next prime is 445497433921. The reversal of 445497433920 is 29334794544.

445497433920 is a `hidden beast` number, since 4 + 4 + 549 + 7 + 4 + 3 + 3 + 92 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2240).

It is a hoax number, since the sum of its digits (54) 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 (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (445497433921) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 2488812391 + ... + 2488812569.

Almost surely, 2^445497433920 is an apocalyptic number.

445497433920 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 445497433920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1051545369600).

445497433920 is an abundant number, since it is smaller than the sum of its proper divisors (1657593305280).

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

445497433920 is a wasteful number, since it uses less digits than its factorization.

445497433920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 298 (or 279 counting only the distinct ones).

The product of its (nonzero) digits is 13063680, while the sum is 54.

The spelling of 445497433920 in words is "four hundred forty-five billion, four hundred ninety-seven million, four hundred thirty-three thousand, nine hundred twenty".