444402420 has 192 divisors, whose sum is σ = 1588156416. Its totient is φ = 90155520.

The previous prime is 444402407. The next prime is 444402443. The reversal of 444402420 is 24204444.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 197542 + ... + 199778.

It is an arithmetic number, because the mean of its divisors is an integer number (8271648).

Almost surely, 2^444402420 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 444402420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (794078208).

444402420 is an abundant number, since it is smaller than the sum of its proper divisors (1143753996).

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

444402420 is a wasteful number, since it uses less digits than its factorization.

444402420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2310 (or 2308 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 24.

The square root of 444402420 is about 21080.8543470135. The cubic root of 444402420 is about 763.1187746207.

Adding to 444402420 its reverse (24204444), we get a palindrome (468606864).

The spelling of 444402420 in words is "four hundred forty-four million, four hundred two thousand, four hundred twenty".