84000444 has 48 divisors (see below), whose sum is σ = 225079680. Its totient is φ = 24114240.

The previous prime is 84000437. The next prime is 84000473. The reversal of 84000444 is 44400048.

84000444 is a modest number, since divided by 444 gives 84 as remainder.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 14239 + ... + 19254.

It is an arithmetic number, because the mean of its divisors is an integer number (4689160).

Almost surely, 2^84000444 is an apocalyptic number.

It is an amenable number.

84000444 is an abundant number, since it is smaller than the sum of its proper divisors (141079236).

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

84000444 is a wasteful number, since it uses less digits than its factorization.

84000444 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33530 (or 33528 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 24.

The square root of 84000444 is about 9165.1756120655. The cubic root of 84000444 is about 437.9526856170.

It can be divided in two parts, 8400044 and 4, that added together give a palindrome (8400048).

The spelling of 84000444 in words is "eighty-four million, four hundred forty-four", and thus it is an aban number.