442414320 has 80 divisors (see below), whose sum is σ = 1397401632. Its totient is φ = 115747840.

The previous prime is 442414309. The next prime is 442414327. The reversal of 442414320 is 23414244.

It is a happy number.

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 congruent number.

It is not an unprimeable number, because it can be changed into a prime (442414327) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4671 + ... + 30110.

Almost surely, 2^442414320 is an apocalyptic number.

442414320 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 442414320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (698700816).

442414320 is an abundant number, since it is smaller than the sum of its proper divisors (954987312).

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

442414320 is a wasteful number, since it uses less digits than its factorization.

442414320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34850 (or 34844 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 24.

The square root of 442414320 is about 21033.6473299331. The cubic root of 442414320 is about 761.9790984960.

Adding to 442414320 its reverse (23414244), we get a palindrome (465828564).

The spelling of 442414320 in words is "four hundred forty-two million, four hundred fourteen thousand, three hundred twenty".