442879040 has 56 divisors (see below), whose sum is σ = 1058704512. Its totient is φ = 176463360.

The previous prime is 442879033. The next prime is 442879057. The reversal of 442879040 is 40978244.

It is a super-2 number, since 2×442879040² = 392283688142643200, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 442878985 and 442879003.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 84167 + ... + 89273.

Almost surely, 2^442879040 is an apocalyptic number.

442879040 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 442879040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (529352256).

442879040 is an abundant number, since it is smaller than the sum of its proper divisors (615825472).

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

442879040 is a wasteful number, since it uses less digits than its factorization.

442879040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5395 (or 5385 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 38.

The square root of 442879040 is about 21044.6914921555. The cubic root of 442879040 is about 762.2458040072.

The spelling of 442879040 in words is "four hundred forty-two million, eight hundred seventy-nine thousand, forty".