442661920 has 24 divisors (see below), whose sum is σ = 1045789164. Its totient is φ = 177064704.

The previous prime is 442661903. The next prime is 442661941. The reversal of 442661920 is 29166244.

It can be written as a sum of positive squares in 2 ways, for example, as 441504144 + 1157776 = 21012^2 + 1076^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1383159 + ... + 1383478.

Almost surely, 2^442661920 is an apocalyptic number.

442661920 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

442661920 is an abundant number, since it is smaller than the sum of its proper divisors (603127244).

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

442661920 is a wasteful number, since it uses less digits than its factorization.

442661920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2766652 (or 2766644 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 34.

The square root of 442661920 is about 21039.5323141937. The cubic root of 442661920 is about 762.1212208092.

The spelling of 442661920 in words is "four hundred forty-two million, six hundred sixty-one thousand, nine hundred twenty".