442829280 has 48 divisors (see below), whose sum is σ = 1394913744. Its totient is φ = 118087680.

The previous prime is 442829269. The next prime is 442829293. The reversal of 442829280 is 82928244.

It is a tau number, because it is divible by the number of its divisors (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 460801 + ... + 461760.

It is an arithmetic number, because the mean of its divisors is an integer number (29060703).

Almost surely, 2^442829280 is an apocalyptic number.

442829280 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

442829280 is an abundant number, since it is smaller than the sum of its proper divisors (952084464).

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

442829280 is a wasteful number, since it uses less digits than its factorization.

442829280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 922579 (or 922571 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 39.

The square root of 442829280 is about 21043.5092130566. The cubic root of 442829280 is about 762.2172553755.

The spelling of 442829280 in words is "four hundred forty-two million, eight hundred twenty-nine thousand, two hundred eighty".