442134680 has 64 divisors (see below), whose sum is σ = 1073671200. Its totient is φ = 162892800.

The previous prime is 442134661. The next prime is 442134689. The reversal of 442134680 is 86431244.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (442134689) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 420155 + ... + 421205.

Almost surely, 2^442134680 is an apocalyptic number.

442134680 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 442134680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (536835600).

442134680 is an abundant number, since it is smaller than the sum of its proper divisors (631536520).

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

442134680 is a wasteful number, since it uses less digits than its factorization.

442134680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1884 (or 1880 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 32.

The square root of 442134680 is about 21026.9988348314. The cubic root of 442134680 is about 761.8185214565.

The spelling of 442134680 in words is "four hundred forty-two million, one hundred thirty-four thousand, six hundred eighty".