445493760 has 320 divisors, whose sum is σ = 1555614720. Its totient is φ = 108380160.

The previous prime is 445493753. The next prime is 445493767. The reversal of 445493760 is 67394544.

It is an interprime number because it is at equal distance from previous prime (445493753) and next prime (445493767).

It is a tau number, because it is divible by the number of its divisors (320).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (445493767) 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 31 ways as a sum of consecutive naturals, for example, 6274525 + ... + 6274595.

It is an arithmetic number, because the mean of its divisors is an integer number (4861296).

Almost surely, 2^445493760 is an apocalyptic number.

445493760 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 445493760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (777807360).

445493760 is an abundant number, since it is smaller than the sum of its proper divisors (1110120960).

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

445493760 is a wasteful number, since it uses less digits than its factorization.

445493760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 159 (or 143 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 42.

The square root of 445493760 is about 21106.7230995245. The cubic root of 445493760 is about 763.7429395676.

The spelling of 445493760 in words is "four hundred forty-five million, four hundred ninety-three thousand, seven hundred sixty".