442200400 has 30 divisors (see below), whose sum is σ = 1062387422. Its totient is φ = 176880000.

The previous prime is 442200389. The next prime is 442200403. The reversal of 442200400 is 4002244.

It can be written as a sum of positive squares in 3 ways, for example, as 147185424 + 295014976 = 12132^2 + 17176^2 .

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (442200403) 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, 552351 + ... + 553150.

Almost surely, 2^442200400 is an apocalyptic number.

442200400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

442200400 is an abundant number, since it is smaller than the sum of its proper divisors (620187022).

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

442200400 is a wasteful number, since it uses less digits than its factorization.

442200400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1105519 (or 1105508 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 16.

The square root of 442200400 is about 21028.5615295008. The cubic root of 442200400 is about 761.8562657872.

Adding to 442200400 its reverse (4002244), we get a palindrome (446202644).

The spelling of 442200400 in words is "four hundred forty-two million, two hundred thousand, four hundred".