445442040 has 192 divisors, whose sum is σ = 1502504640. Its totient is φ = 114370560.

The previous prime is 445442029. The next prime is 445442047. The reversal of 445442040 is 40244544.

It is a happy number.

445442040 is a `hidden beast` number, since 4 + 454 + 4 + 204 + 0 = 666.

It is a super-2 number, since 2×445442040² = 396837221998723200, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 445441995 and 445442013.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (445442047) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1520134 + ... + 1520426.

It is an arithmetic number, because the mean of its divisors is an integer number (7825545).

Almost surely, 2^445442040 is an apocalyptic number.

445442040 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 445442040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (751252320).

445442040 is an abundant number, since it is smaller than the sum of its proper divisors (1057062600).

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

445442040 is a wasteful number, since it uses less digits than its factorization.

445442040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 454 (or 447 counting only the distinct ones).

The product of its (nonzero) digits is 10240, while the sum is 27.

The square root of 445442040 is about 21105.4978619316. The cubic root of 445442040 is about 763.7133826152.

Adding to 445442040 its reverse (40244544), we get a palindrome (485686584).

The spelling of 445442040 in words is "four hundred forty-five million, four hundred forty-two thousand, forty".