442583040 has 96 divisors (see below), whose sum is σ = 1416018240. Its totient is φ = 118013952.

The previous prime is 442583023. The next prime is 442583051. The reversal of 442583040 is 40385244.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 442582989 and 442583007.

It is a congruent number.

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, 23517 + ... + 37923.

It is an arithmetic number, because the mean of its divisors is an integer number (14750190).

Almost surely, 2^442583040 is an apocalyptic number.

442583040 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 442583040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (708009120).

442583040 is an abundant number, since it is smaller than the sum of its proper divisors (973435200).

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

442583040 is a wasteful number, since it uses less digits than its factorization.

442583040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14437 (or 14417 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 30.

The square root of 442583040 is about 21037.6576642933. The cubic root of 442583040 is about 762.0759494706.

The spelling of 442583040 in words is "four hundred forty-two million, five hundred eighty-three thousand, forty".