442413660 has 96 divisors (see below), whose sum is σ = 1349248320. Its totient is φ = 107661312.

The previous prime is 442413637. The next prime is 442413677. The reversal of 442413660 is 66314244.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 66234 + ... + 72606.

It is an arithmetic number, because the mean of its divisors is an integer number (14054670).

Almost surely, 2^442413660 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 442413660, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (674624160).

442413660 is an abundant number, since it is smaller than the sum of its proper divisors (906834660).

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

442413660 is a wasteful number, since it uses less digits than its factorization.

442413660 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6487 (or 6485 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 30.

The square root of 442413660 is about 21033.6316407795. The cubic root of 442413660 is about 761.9787195854.

The spelling of 442413660 in words is "four hundred forty-two million, four hundred thirteen thousand, six hundred sixty".