442372500 has 90 divisors (see below), whose sum is σ = 1397398002. Its totient is φ = 117960000.

The previous prime is 442372417. The next prime is 442372577. The reversal of 442372500 is 5273244.

It can be written as a sum of positive squares in 5 ways, for example, as 161340804 + 281031696 = 12702^2 + 16764^2 .

It is a tau number, because it is divible by the number of its divisors (90).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 12670 + ... + 32330.

Almost surely, 2^442372500 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 442372500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (698699001).

442372500 is an abundant number, since it is smaller than the sum of its proper divisors (955025502).

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

442372500 is a wasteful number, since it uses less digits than its factorization.

442372500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19691 (or 19671 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 27.

The square root of 442372500 is about 21032.6531849883. The cubic root of 442372500 is about 761.9550885965.

The spelling of 442372500 in words is "four hundred forty-two million, three hundred seventy-two thousand, five hundred".