445434000 has 320 divisors, whose sum is σ = 1662964992. Its totient is φ = 101376000.

The previous prime is 445433987. The next prime is 445434001. The reversal of 445434000 is 434544.

It is a super-2 number, since 2×445434000² = 396822896712000000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (445434001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1121802 + ... + 1122198.

Almost surely, 2^445434000 is an apocalyptic number.

445434000 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 445434000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (831482496).

445434000 is an abundant number, since it is smaller than the sum of its proper divisors (1217530992).

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

445434000 is a wasteful number, since it uses less digits than its factorization.

445434000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 451 (or 435 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 24.

The square root of 445434000 is about 21105.3073893748. The cubic root of 445434000 is about 763.7087877094.

Adding to 445434000 its reverse (434544), we get a palindrome (445868544).

The spelling of 445434000 in words is "four hundred forty-five million, four hundred thirty-four thousand".