442117760 has 256 divisors, whose sum is σ = 1295481600. Its totient is φ = 141066240.

The previous prime is 442117757. The next prime is 442117763. The reversal of 442117760 is 67711244.

It is an interprime number because it is at equal distance from previous prime (442117757) and next prime (442117763).

It is a super-2 number, since 2×442117760² = 390936227414835200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is not an unprimeable number, because it can be changed into a prime (442117763) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5326679 + ... + 5326761.

It is an arithmetic number, because the mean of its divisors is an integer number (5060475).

Almost surely, 2^442117760 is an apocalyptic number.

442117760 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 442117760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (647740800).

442117760 is an abundant number, since it is smaller than the sum of its proper divisors (853363840).

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

442117760 is a wasteful number, since it uses less digits than its factorization.

442117760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 179 (or 167 counting only the distinct ones).

The product of its (nonzero) digits is 9408, while the sum is 32.

The square root of 442117760 is about 21026.5964911110. The cubic root of 442117760 is about 761.8088033515.

The spelling of 442117760 in words is "four hundred forty-two million, one hundred seventeen thousand, seven hundred sixty".