442154440 has 256 divisors, whose sum is σ = 1302336000. Its totient is φ = 134120448.

The previous prime is 442154429. The next prime is 442154441. The reversal of 442154440 is 44451244.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a junction number, because it is equal to n+sod(n) for n = 442154399 and 442154408.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (442154441) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 6599287 + ... + 6599353.

It is an arithmetic number, because the mean of its divisors is an integer number (5087250).

Almost surely, 2^442154440 is an apocalyptic number.

442154440 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 442154440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (651168000).

442154440 is an abundant number, since it is smaller than the sum of its proper divisors (860181560).

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

442154440 is a wasteful number, since it uses less digits than its factorization.

442154440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 149 (or 131 counting only the distinct ones).

The product of its (nonzero) digits is 10240, while the sum is 28.

The square root of 442154440 is about 21027.4687016769. The cubic root of 442154440 is about 761.8298704190.

The spelling of 442154440 in words is "four hundred forty-two million, one hundred fifty-four thousand, four hundred forty".