442823040 has 384 divisors, whose sum is σ = 1732816800. Its totient is φ = 103219200.

The previous prime is 442823039. The next prime is 442823077. The reversal of 442823040 is 40328244.

It is a happy number.

442823040 is a `hidden beast` number, since 4 + 428 + 230 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a junction number, because it is equal to n+sod(n) for n = 442822995 and 442823013.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1837320 + ... + 1837560.

Almost surely, 2^442823040 is an apocalyptic number.

442823040 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 442823040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (866408400).

442823040 is an abundant number, since it is smaller than the sum of its proper divisors (1289993760).

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

442823040 is a wasteful number, since it uses less digits than its factorization.

442823040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 306 (or 291 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 27.

The square root of 442823040 is about 21043.3609482896. The cubic root of 442823040 is about 762.2136751711.

The spelling of 442823040 in words is "four hundred forty-two million, eight hundred twenty-three thousand, forty".