442549440 has 448 divisors, whose sum is σ = 1738091520. Its totient is φ = 105431040.

The previous prime is 442549409. The next prime is 442549447. The reversal of 442549440 is 44945244.

It is a happy number.

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 = 442549395 and 442549404.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (442549447) 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, 3378175 + ... + 3378305.

Almost surely, 2^442549440 is an apocalyptic number.

442549440 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 442549440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (869045760).

442549440 is an abundant number, since it is smaller than the sum of its proper divisors (1295542080).

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

442549440 is a wasteful number, since it uses less digits than its factorization.

442549440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 197 (or 181 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 36.

The square root of 442549440 is about 21036.8590811461. The cubic root of 442549440 is about 762.0566638996.

The spelling of 442549440 in words is "four hundred forty-two million, five hundred forty-nine thousand, four hundred forty".