442042100 has 18 divisors (see below), whose sum is σ = 959231574. Its totient is φ = 176816800.

The previous prime is 442042091. The next prime is 442042103. The reversal of 442042100 is 1240244.

It can be written as a sum of positive squares in 3 ways, for example, as 12475024 + 429567076 = 3532^2 + 20726^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (442042103) 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, 2210111 + ... + 2210310.

It is an arithmetic number, because the mean of its divisors is an integer number (53290643).

Almost surely, 2^442042100 is an apocalyptic number.

It is an amenable number.

442042100 is an abundant number, since it is smaller than the sum of its proper divisors (517189474).

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

442042100 is a wasteful number, since it uses less digits than its factorization.

442042100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4420435 (or 4420428 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 17.

The square root of 442042100 is about 21024.7972641831. The cubic root of 442042100 is about 761.7653445361.

Adding to 442042100 its reverse (1240244), we get a palindrome (443282344).

The spelling of 442042100 in words is "four hundred forty-two million, forty-two thousand, one hundred".