442515040 has 48 divisors (see below), whose sum is σ = 1140486480. Its totient is φ = 160913920.

The previous prime is 442515023. The next prime is 442515041. The reversal of 442515040 is 40515244.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 442514996 and 442515014.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (442515041) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 123955 + ... + 127474.

It is an arithmetic number, because the mean of its divisors is an integer number (23760135).

Almost surely, 2^442515040 is an apocalyptic number.

442515040 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

442515040 is an abundant number, since it is smaller than the sum of its proper divisors (697971440).

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

442515040 is a wasteful number, since it uses less digits than its factorization.

442515040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 251455 (or 251447 counting only the distinct ones).

The product of its (nonzero) digits is 3200, while the sum is 25.

The square root of 442515040 is about 21036.0414527068. The cubic root of 442515040 is about 762.0369181370.

The spelling of 442515040 in words is "four hundred forty-two million, five hundred fifteen thousand, forty".