442440400 has 30 divisors (see below), whose sum is σ = 1062964022. Its totient is φ = 176976000.

The previous prime is 442440359. The next prime is 442440409. The reversal of 442440400 is 4044244.

It can be written as a sum of positive squares in 3 ways, for example, as 1272384 + 441168016 = 1128^2 + 21004^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (442440409) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 552651 + ... + 553450.

Almost surely, 2^442440400 is an apocalyptic number.

442440400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

442440400 is an abundant number, since it is smaller than the sum of its proper divisors (620523622).

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

442440400 is a wasteful number, since it uses less digits than its factorization.

442440400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1106119 (or 1106108 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 22.

The square root of 442440400 is about 21034.2672798460. The cubic root of 442440400 is about 761.9940709050.

Adding to 442440400 its reverse (4044244), we get a palindrome (446484644).

The spelling of 442440400 in words is "four hundred forty-two million, four hundred forty thousand, four hundred".