445448640 has 224 divisors, whose sum is σ = 1741017600. Its totient is φ = 93966336.

The previous prime is 445448611. The next prime is 445448651. The reversal of 445448640 is 46844544.

It is a tau number, because it is divible by the number of its divisors (224).

It is a super-3 number, since 3×445448640³ (a number of 27 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 84811 + ... + 89909.

It is an arithmetic number, because the mean of its divisors is an integer number (7772400).

Almost surely, 2^445448640 is an apocalyptic number.

445448640 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 445448640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (870508800).

445448640 is an abundant number, since it is smaller than the sum of its proper divisors (1295568960).

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

445448640 is a wasteful number, since it uses less digits than its factorization.

445448640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5139 (or 5129 counting only the distinct ones).

The product of its (nonzero) digits is 245760, while the sum is 39.

The square root of 445448640 is about 21105.6542187159. The cubic root of 445448640 is about 763.7171545114.

The spelling of 445448640 in words is "four hundred forty-five million, four hundred forty-eight thousand, six hundred forty".