442315540 has 36 divisors (see below), whose sum is σ = 962033436. Its totient is φ = 170818816.

The previous prime is 442315519. The next prime is 442315547. The reversal of 442315540 is 45513244.

It can be written as a sum of positive squares in 6 ways, for example, as 1567504 + 440748036 = 1252^2 + 20994^2 .

It is a junction number, because it is equal to n+sod(n) for n = 442315499 and 442315508.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (442315547) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3672 + ... + 29968.

It is an arithmetic number, because the mean of its divisors is an integer number (26723151).

Almost surely, 2^442315540 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 442315540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (481016718).

442315540 is an abundant number, since it is smaller than the sum of its proper divisors (519717896).

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

442315540 is a wasteful number, since it uses less digits than its factorization.

442315540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26364 (or 26333 counting only the distinct ones).

The product of its (nonzero) digits is 9600, while the sum is 28.

The square root of 442315540 is about 21031.2990564064. The cubic root of 442315540 is about 761.9223840133.

Adding to 442315540 its reverse (45513244), we get a palindrome (487828784).

The spelling of 442315540 in words is "four hundred forty-two million, three hundred fifteen thousand, five hundred forty".