442104768 has 336 divisors, whose sum is σ = 1584960000. Its totient is φ = 114960384.

The previous prime is 442104731. The next prime is 442104769. The reversal of 442104768 is 867401244.

It is a tau number, because it is divible by the number of its divisors (336).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (442104769) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2221533 + ... + 2221731.

Almost surely, 2^442104768 is an apocalyptic number.

442104768 is a gapful number since it is divisible by the number (48) 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 442104768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (792480000).

442104768 is an abundant number, since it is smaller than the sum of its proper divisors (1142855232).

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

442104768 is a wasteful number, since it uses less digits than its factorization.

442104768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 272 (or 259 counting only the distinct ones).

The product of its (nonzero) digits is 43008, while the sum is 36.

The square root of 442104768 is about 21026.2875467830. The cubic root of 442104768 is about 761.8013411488.

The spelling of 442104768 in words is "four hundred forty-two million, one hundred four thousand, seven hundred sixty-eight".