442514040 has 64 divisors (see below), whose sum is σ = 1329471360. Its totient is φ = 117832320.

The previous prime is 442513999. The next prime is 442514041. The reversal of 442514040 is 40415244.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 442514040.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (442514041) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 95047 + ... + 99593.

It is an arithmetic number, because the mean of its divisors is an integer number (20772990).

Almost surely, 2^442514040 is an apocalyptic number.

442514040 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

442514040 is an abundant number, since it is smaller than the sum of its proper divisors (886957320).

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

442514040 is a wasteful number, since it uses less digits than its factorization.

442514040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5372 (or 5368 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 24.

The square root of 442514040 is about 21036.0176839629. The cubic root of 442514040 is about 762.0363441170.

Adding to 442514040 its reverse (40415244), we get a palindrome (482929284).

The spelling of 442514040 in words is "four hundred forty-two million, five hundred fourteen thousand, forty".