442424400 has 240 divisors, whose sum is σ = 1564477248. Its totient is φ = 106867200.

The previous prime is 442424387. The next prime is 442424441. The reversal of 442424400 is 4424244.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1597062 + ... + 1597338.

Almost surely, 2^442424400 is an apocalyptic number.

442424400 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 442424400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (782238624).

442424400 is an abundant number, since it is smaller than the sum of its proper divisors (1122052848).

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

442424400 is a wasteful number, since it uses less digits than its factorization.

442424400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 331 (or 298 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 24.

The square root of 442424400 is about 21033.8869446424. The cubic root of 442424400 is about 761.9848854477.

Adding to 442424400 its reverse (4424244), we get a palindrome (446848644).

442424400 divided by its reverse (4424244) gives a square (100 = 10²).

The spelling of 442424400 in words is "four hundred forty-two million, four hundred twenty-four thousand, four hundred".