442520400 has 240 divisors, whose sum is σ = 1636006400. Its totient is φ = 100154880.

The previous prime is 442520389. The next prime is 442520401. The reversal of 442520400 is 4025244.

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 (21).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (442520401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1167411 + ... + 1167789.

Almost surely, 2^442520400 is an apocalyptic number.

442520400 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 442520400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (818003200).

442520400 is an abundant number, since it is smaller than the sum of its proper divisors (1193486000).

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

442520400 is a wasteful number, since it uses less digits than its factorization.

442520400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 546 (or 535 counting only the distinct ones).

The product of its (nonzero) digits is 1280, while the sum is 21.

The square root of 442520400 is about 21036.1688527165. The cubic root of 442520400 is about 762.0399948696.

Adding to 442520400 its reverse (4025244), we get a palindrome (446545644).

The spelling of 442520400 in words is "four hundred forty-two million, five hundred twenty thousand, four hundred".