442876360 has 32 divisors (see below), whose sum is σ = 997531200. Its totient is φ = 176962240.

The previous prime is 442876349. The next prime is 442876363. The reversal of 442876360 is 63678244.

It is a happy number.

It is a super-2 number, since 2×442876360² = 392278940493699200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is not an unprimeable number, because it can be changed into a prime (442876363) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 35871 + ... + 46609.

It is an arithmetic number, because the mean of its divisors is an integer number (31172850).

Almost surely, 2^442876360 is an apocalyptic number.

442876360 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

442876360 is an abundant number, since it is smaller than the sum of its proper divisors (554654840).

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

442876360 is a wasteful number, since it uses less digits than its factorization.

442876360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11781 (or 11777 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 40.

The square root of 442876360 is about 21044.6278180442. The cubic root of 442876360 is about 762.2442664746.

The spelling of 442876360 in words is "four hundred forty-two million, eight hundred seventy-six thousand, three hundred sixty".