444459420 has 192 divisors, whose sum is σ = 1429908480. Its totient is φ = 114566400.

The previous prime is 444459413. The next prime is 444459427. The reversal of 444459420 is 24954444.

It is a happy number.

444459420 is a `hidden beast` number, since 4 + 4 + 44 + 594 + 20 = 666.

It is an interprime number because it is at equal distance from previous prime (444459413) and next prime (444459427).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (444459427) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3392755 + ... + 3392885.

It is an arithmetic number, because the mean of its divisors is an integer number (7447440).

Almost surely, 2^444459420 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 444459420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (714954240).

444459420 is an abundant number, since it is smaller than the sum of its proper divisors (985449060).

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

444459420 is a wasteful number, since it uses less digits than its factorization.

444459420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 313 (or 305 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 36.

The square root of 444459420 is about 21082.2062412832. The cubic root of 444459420 is about 763.1513996385.

The spelling of 444459420 in words is "four hundred forty-four million, four hundred fifty-nine thousand, four hundred twenty".