442869720 has 256 divisors, whose sum is σ = 1492992000. Its totient is φ = 104570880.

The previous prime is 442869719. The next prime is 442869731. The reversal of 442869720 is 27968244.

It is a super-2 number, since 2×442869720² = 392267177785756800, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2972206 + ... + 2972354.

It is an arithmetic number, because the mean of its divisors is an integer number (5832000).

Almost surely, 2^442869720 is an apocalyptic number.

442869720 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 442869720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (746496000).

442869720 is an abundant number, since it is smaller than the sum of its proper divisors (1050122280).

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

442869720 is a wasteful number, since it uses less digits than its factorization.

442869720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 258 (or 254 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 42.

The square root of 442869720 is about 21044.4700574759. The cubic root of 442869720 is about 762.2404570388.

The spelling of 442869720 in words is "four hundred forty-two million, eight hundred sixty-nine thousand, seven hundred twenty".