442272040 has 192 divisors, whose sum is σ = 1241049600. Its totient is φ = 141120000.

The previous prime is 442272023. The next prime is 442272041. The reversal of 442272040 is 40272244.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 442271996 and 442272014.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (442272041) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1761915 + ... + 1762165.

It is an arithmetic number, because the mean of its divisors is an integer number (6463800).

Almost surely, 2^442272040 is an apocalyptic number.

442272040 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 442272040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (620524800).

442272040 is an abundant number, since it is smaller than the sum of its proper divisors (798777560).

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

442272040 is a wasteful number, since it uses less digits than its factorization.

442272040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 336 (or 325 counting only the distinct ones).

The product of its (nonzero) digits is 3584, while the sum is 25.

The square root of 442272040 is about 21030.2648580564. The cubic root of 442272040 is about 761.8974058342.

The spelling of 442272040 in words is "four hundred forty-two million, two hundred seventy-two thousand, forty".