442100516 has 24 divisors (see below), whose sum is σ = 908935104. Its totient is φ = 185496480.

The previous prime is 442100509. The next prime is 442100537. The reversal of 442100516 is 615001244.

It is a junction number, because it is equal to n+sod(n) for n = 442100491 and 442100500.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 385880 + ... + 387023.

It is an arithmetic number, because the mean of its divisors is an integer number (37872296).

Almost surely, 2^442100516 is an apocalyptic number.

It is an amenable number.

442100516 is an abundant number, since it is smaller than the sum of its proper divisors (466834588).

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

442100516 is a wasteful number, since it uses less digits than its factorization.

442100516 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 772931 (or 772929 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 23.

The square root of 442100516 is about 21026.1864350148. The cubic root of 442100516 is about 761.7988988999.

The spelling of 442100516 in words is "four hundred forty-two million, one hundred thousand, five hundred sixteen".