442040430 has 96 divisors (see below), whose sum is σ = 1171600416. Its totient is φ = 106106112.

The previous prime is 442040429. The next prime is 442040441. The reversal of 442040430 is 34040244.

It is a junction number, because it is equal to n+sod(n) for n = 442040397 and 442040406.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 720804 + ... + 721416.

It is an arithmetic number, because the mean of its divisors is an integer number (12204171).

Almost surely, 2^442040430 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 442040430, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (585800208).

442040430 is an abundant number, since it is smaller than the sum of its proper divisors (729559986).

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

442040430 is a wasteful number, since it uses less digits than its factorization.

442040430 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 722 (or 679 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 21.

The square root of 442040430 is about 21024.7575491372. The cubic root of 442040430 is about 761.7643852385.

Adding to 442040430 its reverse (34040244), we get a palindrome (476080674).

It can be divided in two parts, 4420 and 40430, that added together give a triangular number (44850 = T₂₉₉).

The spelling of 442040430 in words is "four hundred forty-two million, forty thousand, four hundred thirty".