442959408 has 160 divisors (see below), whose sum is σ = 1321790400. Its totient is φ = 141926400.

The previous prime is 442959397. The next prime is 442959479. The reversal of 442959408 is 804959244.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1576228 + ... + 1576508.

It is an arithmetic number, because the mean of its divisors is an integer number (8261190).

Almost surely, 2^442959408 is an apocalyptic number.

442959408 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 442959408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (660895200).

442959408 is an abundant number, since it is smaller than the sum of its proper divisors (878830992).

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

442959408 is a wasteful number, since it uses less digits than its factorization.

442959408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 428 (or 416 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 45.

The square root of 442959408 is about 21046.6008656980. The cubic root of 442959408 is about 762.2919087447.

The spelling of 442959408 in words is "four hundred forty-two million, nine hundred fifty-nine thousand, four hundred eight".