442780140 has 144 divisors (see below), whose sum is σ = 1383540480. Its totient is φ = 105705600.

The previous prime is 442780111. The next prime is 442780193. The reversal of 442780140 is 41087244.

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

It is a junction number, because it is equal to n+sod(n) for n = 442780098 and 442780107.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 515031 + ... + 515889.

It is an arithmetic number, because the mean of its divisors is an integer number (9607920).

Almost surely, 2^442780140 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 442780140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (691770240).

442780140 is an abundant number, since it is smaller than the sum of its proper divisors (940760340).

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

442780140 is a wasteful number, since it uses less digits than its factorization.

442780140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 964 (or 951 counting only the distinct ones).

The product of its (nonzero) digits is 7168, while the sum is 30.

The square root of 442780140 is about 21042.3415997365. The cubic root of 442780140 is about 762.1890603553.

The spelling of 442780140 in words is "four hundred forty-two million, seven hundred eighty thousand, one hundred forty".