442122408 has 256 divisors, whose sum is σ = 1535385600. Its totient is φ = 114773760.

The previous prime is 442122391. The next prime is 442122469. The reversal of 442122408 is 804221244.

442122408 is a `hidden beast` number, since 44 + 212 + 2 + 408 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1631313 + ... + 1631583.

It is an arithmetic number, because the mean of its divisors is an integer number (5997600).

Almost surely, 2^442122408 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 442122408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (767692800).

442122408 is an abundant number, since it is smaller than the sum of its proper divisors (1093263192).

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

442122408 is a wasteful number, since it uses less digits than its factorization.

442122408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 389 (or 379 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 27.

The square root of 442122408 is about 21026.7070175051. The cubic root of 442122408 is about 761.8114729833.

The spelling of 442122408 in words is "four hundred forty-two million, one hundred twenty-two thousand, four hundred eight".