442820840 has 384 divisors, whose sum is σ = 1418342400. Its totient is φ = 122411520.

The previous prime is 442820831. The next prime is 442820843. The reversal of 442820840 is 48028244.

It is a junction number, because it is equal to n+sod(n) for n = 442820797 and 442820806.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (442820843) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 9421697 + ... + 9421743.

It is an arithmetic number, because the mean of its divisors is an integer number (3693600).

Almost surely, 2^442820840 is an apocalyptic number.

442820840 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 442820840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (709171200).

442820840 is an abundant number, since it is smaller than the sum of its proper divisors (975521560).

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

442820840 is a wasteful number, since it uses less digits than its factorization.

442820840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 125 (or 114 counting only the distinct ones).

The product of its (nonzero) digits is 16384, while the sum is 32.

The square root of 442820840 is about 21043.3086752060. The cubic root of 442820840 is about 762.2124129115.

The spelling of 442820840 in words is "four hundred forty-two million, eight hundred twenty thousand, eight hundred forty".