442697040 has 240 divisors, whose sum is σ = 1549067520. Its totient is φ = 113218560.

The previous prime is 442697033. The next prime is 442697041. The reversal of 442697040 is 40796244.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 442696986 and 442697004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (442697041) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2445750 + ... + 2445930.

It is an arithmetic number, because the mean of its divisors is an integer number (6454448).

Almost surely, 2^442697040 is an apocalyptic number.

442697040 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 442697040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (774533760).

442697040 is an abundant number, since it is smaller than the sum of its proper divisors (1106370480).

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

442697040 is a wasteful number, since it uses less digits than its factorization.

442697040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 322 (or 313 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The square root of 442697040 is about 21040.3669169528. The cubic root of 442697040 is about 762.1413753849.

The spelling of 442697040 in words is "four hundred forty-two million, six hundred ninety-seven thousand, forty".