442554840 has 640 divisors, whose sum is σ = 1951488000. Its totient is φ = 87340032.

The previous prime is 442554809. The next prime is 442554851. The reversal of 442554840 is 48455244.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 442554795 and 442554804.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 5601921 + ... + 5601999.

It is an arithmetic number, because the mean of its divisors is an integer number (3049200).

Almost surely, 2^442554840 is an apocalyptic number.

442554840 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 442554840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (975744000).

442554840 is an abundant number, since it is smaller than the sum of its proper divisors (1508933160).

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

442554840 is a wasteful number, since it uses less digits than its factorization.

442554840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 141 (or 128 counting only the distinct ones).

The product of its (nonzero) digits is 102400, while the sum is 36.

The square root of 442554840 is about 21036.9874269107. The cubic root of 442554840 is about 762.0597634322.

The spelling of 442554840 in words is "four hundred forty-two million, five hundred fifty-four thousand, eight hundred forty".