802245444 has 384 divisors, whose sum is σ = 2709504000. Its totient is φ = 181762560.

The previous prime is 802245443. The next prime is 802245481. The reversal of 802245444 is 444542208.

802245444 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is not an unprimeable number, because it can be changed into a prime (802245443) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 17069029 + ... + 17069075.

It is an arithmetic number, because the mean of its divisors is an integer number (7056000).

Almost surely, 2^802245444 is an apocalyptic number.

802245444 is a gapful number since it is divisible by the number (84) 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 802245444, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1354752000).

802245444 is an abundant number, since it is smaller than the sum of its proper divisors (1907258556).

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

802245444 is a wasteful number, since it uses less digits than its factorization.

802245444 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 128 (or 112 counting only the distinct ones).

The product of its (nonzero) digits is 40960, while the sum is 33.

The square root of 802245444 is about 28323.9376499808. The cubic root of 802245444 is about 929.1854910337.

The spelling of 802245444 in words is "eight hundred two million, two hundred forty-five thousand, four hundred forty-four".