442224240 has 80 divisors (see below), whose sum is σ = 1443062400. Its totient is φ = 111718656.

The previous prime is 442224239. The next prime is 442224253. The reversal of 442224240 is 42422244.

It is a tau number, because it is divible by the number of its divisors (80).

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 442224240.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 43930 + ... + 53049.

It is an arithmetic number, because the mean of its divisors is an integer number (18038280).

Almost surely, 2^442224240 is an apocalyptic number.

442224240 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

442224240 is an abundant number, since it is smaller than the sum of its proper divisors (1000838160).

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

442224240 is a wasteful number, since it uses less digits than its factorization.

442224240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 97014 (or 97008 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 24.

The square root of 442224240 is about 21029.1283699539. The cubic root of 442224240 is about 761.8699566591.

Adding to 442224240 its reverse (42422244), we get a palindrome (484646484).

The spelling of 442224240 in words is "four hundred forty-two million, two hundred twenty-four thousand, two hundred forty".