442609920 has 216 divisors, whose sum is σ = 1589218176. Its totient is φ = 117946368.

The previous prime is 442609823. The next prime is 442609927. The reversal of 442609920 is 29906244.

442609920 is a `hidden beast` number, since 4 + 42 + 609 + 9 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (216).

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

It is not an unprimeable number, because it can be changed into a prime (442609927) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 310329 + ... + 311751.

Almost surely, 2^442609920 is an apocalyptic number.

442609920 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 442609920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (794609088).

442609920 is an abundant number, since it is smaller than the sum of its proper divisors (1146608256).

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

442609920 is an equidigital number, since it uses as much as digits as its factorization.

442609920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1459 (or 1433 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The square root of 442609920 is about 21038.2965089857. The cubic root of 442609920 is about 762.0913772246.

The spelling of 442609920 in words is "four hundred forty-two million, six hundred nine thousand, nine hundred twenty".