445251840 has 288 divisors, whose sum is σ = 1582350336. Its totient is φ = 105799680.

The previous prime is 445251823. The next prime is 445251847. The reversal of 445251840 is 48152544.

It is a happy number.

It is a hoax number, since the sum of its digits (33) 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 (33).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (445251847) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3505857 + ... + 3505983.

It is an arithmetic number, because the mean of its divisors is an integer number (5494272).

Almost surely, 2^445251840 is an apocalyptic number.

445251840 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 445251840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (791175168).

445251840 is an abundant number, since it is smaller than the sum of its proper divisors (1137098496).

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

445251840 is a wasteful number, since it uses less digits than its factorization.

445251840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 245 (or 231 counting only the distinct ones).

The product of its (nonzero) digits is 25600, while the sum is 33.

The square root of 445251840 is about 21100.9914459013. The cubic root of 445251840 is about 763.6046674125.

The spelling of 445251840 in words is "four hundred forty-five million, two hundred fifty-one thousand, eight hundred forty".