442764000 has 432 divisors, whose sum is σ = 1835202096. Its totient is φ = 100800000.

The previous prime is 442763989. The next prime is 442764029. The reversal of 442764000 is 467244.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1763875 + ... + 1764125.

It is an arithmetic number, because the mean of its divisors is an integer number (4248153).

Almost surely, 2^442764000 is an apocalyptic number.

442764000 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 442764000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (917601048).

442764000 is an abundant number, since it is smaller than the sum of its proper divisors (1392438096).

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

442764000 is a wasteful number, since it uses less digits than its factorization.

442764000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 296 (or 268 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 27.

The square root of 442764000 is about 21041.9580837906. The cubic root of 442764000 is about 762.1797992648.

The spelling of 442764000 in words is "four hundred forty-two million, seven hundred sixty-four thousand".