444802260 has 192 divisors, whose sum is σ = 1486356480. Its totient is φ = 97251840.

The previous prime is 444802243. The next prime is 444802273. The reversal of 444802260 is 62208444.

444802260 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×444802260² = 395698101002215200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

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, 1653406 + ... + 1653674.

It is an arithmetic number, because the mean of its divisors is an integer number (7741440).

Almost surely, 2^444802260 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 444802260, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (743178240).

444802260 is an abundant number, since it is smaller than the sum of its proper divisors (1041554220).

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

444802260 is a wasteful number, since it uses less digits than its factorization.

444802260 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 446 (or 444 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 30.

The square root of 444802260 is about 21090.3357014534. The cubic root of 444802260 is about 763.3475717148.

The spelling of 444802260 in words is "four hundred forty-four million, eight hundred two thousand, two hundred sixty".