442345400 has 48 divisors (see below), whose sum is σ = 1175378640. Its totient is φ = 151660800.

The previous prime is 442345391. The next prime is 442345451. The reversal of 442345400 is 4543244.

It is a self number, because there is not a number n which added to its sum of digits gives 442345400.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 156581 + ... + 159380.

It is an arithmetic number, because the mean of its divisors is an integer number (24487055).

Almost surely, 2^442345400 is an apocalyptic number.

442345400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

442345400 is an abundant number, since it is smaller than the sum of its proper divisors (733033240).

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

442345400 is a wasteful number, since it uses less digits than its factorization.

442345400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 315984 (or 315975 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 26.

The square root of 442345400 is about 21032.0089387581. The cubic root of 442345400 is about 761.9395290062.

Adding to 442345400 its reverse (4543244), we get a palindrome (446888644).

The spelling of 442345400 in words is "four hundred forty-two million, three hundred forty-five thousand, four hundred".