445693248 has 336 divisors, whose sum is σ = 1717462656. Its totient is φ = 106721280.

The previous prime is 445693243. The next prime is 445693253. The reversal of 445693248 is 842396544.

445693248 is a `hidden beast` number, since 44 + 569 + 3 + 2 + 48 = 666.

It is an interprime number because it is at equal distance from previous prime (445693243) and next prime (445693253).

It is a tau number, because it is divible by the number of its divisors (336).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (445693243) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 576190 + ... + 576962.

It is an arithmetic number, because the mean of its divisors is an integer number (5111496).

Almost surely, 2^445693248 is an apocalyptic number.

445693248 is a gapful number since it is divisible by the number (48) 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 445693248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (858731328).

445693248 is an abundant number, since it is smaller than the sum of its proper divisors (1271769408).

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

445693248 is a wasteful number, since it uses less digits than its factorization.

445693248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 822 (or 809 counting only the distinct ones).

The product of its digits is 829440, while the sum is 45.

The square root of 445693248 is about 21111.4482686527. The cubic root of 445693248 is about 763.8569215724.

The spelling of 445693248 in words is "four hundred forty-five million, six hundred ninety-three thousand, two hundred forty-eight".