444649590 has 288 divisors, whose sum is σ = 1533692160. Its totient is φ = 87246720.

The previous prime is 444649577. The next prime is 444649631. The reversal of 444649590 is 95946444.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 1448217 + ... + 1448523.

It is an arithmetic number, because the mean of its divisors is an integer number (5325320).

Almost surely, 2^444649590 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 444649590, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (766846080).

444649590 is an abundant number, since it is smaller than the sum of its proper divisors (1089042570).

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

444649590 is a wasteful number, since it uses less digits than its factorization.

444649590 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 368 (or 354 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 45.

The square root of 444649590 is about 21086.7159605283. The cubic root of 444649590 is about 763.2602268275.

The spelling of 444649590 in words is "four hundred forty-four million, six hundred forty-nine thousand, five hundred ninety".