444361302 has 160 divisors (see below), whose sum is σ = 1268467200. Its totient is φ = 115259760.

The previous prime is 444361297. The next prime is 444361319. The reversal of 444361302 is 203163444.

444361302 is a `hidden beast` number, since 4 + 4 + 43 + 613 + 0 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 610863 + ... + 611589.

It is an arithmetic number, because the mean of its divisors is an integer number (7927920).

Almost surely, 2^444361302 is an apocalyptic number.

444361302 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 444361302, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (634233600).

444361302 is an abundant number, since it is smaller than the sum of its proper divisors (824105898).

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

444361302 is a wasteful number, since it uses less digits than its factorization.

444361302 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 773 (or 750 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

The square root of 444361302 is about 21079.8790793496. The cubic root of 444361302 is about 763.0952382310.

The spelling of 444361302 in words is "four hundred forty-four million, three hundred sixty-one thousand, three hundred two".