442303400 has 216 divisors, whose sum is σ = 1318411710. Its totient is φ = 137491200.

The previous prime is 442303387. The next prime is 442303427. The reversal of 442303400 is 4303244.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 335842276 + 106461124 = 18326^2 + 10318^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

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 53 ways as a sum of consecutive naturals, for example, 1185614 + ... + 1185986.

Almost surely, 2^442303400 is an apocalyptic number.

442303400 is a gapful number since it is divisible by the number (40) 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 442303400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (659205855).

442303400 is an abundant number, since it is smaller than the sum of its proper divisors (876108310).

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

442303400 is a wasteful number, since it uses less digits than its factorization.

442303400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 425 (or 398 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 20.

The square root of 442303400 is about 21031.0104369714. The cubic root of 442303400 is about 761.9154132564.

Adding to 442303400 its reverse (4303244), we get a palindrome (446606644).

The spelling of 442303400 in words is "four hundred forty-two million, three hundred three thousand, four hundred".