442863960 has 384 divisors, whose sum is σ = 1737469440. Its totient is φ = 89241600.

The previous prime is 442863943. The next prime is 442863983. The reversal of 442863960 is 69368244.

It is a happy number.

It is a super-2 number, since 2×442863960² = 392256974133763200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

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 95 ways as a sum of consecutive naturals, for example, 2651797 + ... + 2651963.

It is an arithmetic number, because the mean of its divisors is an integer number (4524660).

Almost surely, 2^442863960 is an apocalyptic number.

442863960 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 442863960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (868734720).

442863960 is an abundant number, since it is smaller than the sum of its proper divisors (1294605480).

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

442863960 is a wasteful number, since it uses less digits than its factorization.

442863960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 247 (or 236 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 42.

The square root of 442863960 is about 21044.3332039768. Note that the first 3 decimals coincide. The cubic root of 442863960 is about 762.2371524371.

The spelling of 442863960 in words is "four hundred forty-two million, eight hundred sixty-three thousand, nine hundred sixty".