445346000 has 160 divisors (see below), whose sum is σ = 1214493696. Its totient is φ = 156480000.

The previous prime is 445345993. The next prime is 445346003. The reversal of 445346000 is 643544.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (445346003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 681674 + ... + 682326.

Almost surely, 2^445346000 is an apocalyptic number.

445346000 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 445346000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (607246848).

445346000 is an abundant number, since it is smaller than the sum of its proper divisors (769147696).

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

445346000 is a wasteful number, since it uses less digits than its factorization.

445346000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 718 (or 702 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 26.

The square root of 445346000 is about 21103.2225027364. Note that the first 3 decimals coincide. The cubic root of 445346000 is about 763.6584915941.

Adding to 445346000 its reverse (643544), we get a palindrome (445989544).

The spelling of 445346000 in words is "four hundred forty-five million, three hundred forty-six thousand".