442495872 has 480 divisors, whose sum is σ = 1674315720. Its totient is φ = 114960384.

The previous prime is 442495871. The next prime is 442495897. The reversal of 442495872 is 278594244.

442495872 is a `hidden beast` number, since 44 + 24 + 9 + 587 + 2 = 666.

Its product of digits (645120) is a multiple of the sum of its prime factors (120).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (442495871) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 6604383 + ... + 6604449.

Almost surely, 2^442495872 is an apocalyptic number.

442495872 is a gapful number since it is divisible by the number (42) 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 442495872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (837157860).

442495872 is an abundant number, since it is smaller than the sum of its proper divisors (1231819848).

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

442495872 is a wasteful number, since it uses less digits than its factorization.

442495872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 120 (or 92 counting only the distinct ones).

The product of its digits is 645120, while the sum is 45.

The square root of 442495872 is about 21035.5858487469. The cubic root of 442495872 is about 762.0259151705.

The spelling of 442495872 in words is "four hundred forty-two million, four hundred ninety-five thousand, eight hundred seventy-two".