442256520 has 32 divisors (see below), whose sum is σ = 1326769920. Its totient is φ = 117935040.

The previous prime is 442256519. The next prime is 442256537. The reversal of 442256520 is 25652244.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1842616 + ... + 1842855.

It is an arithmetic number, because the mean of its divisors is an integer number (41461560).

Almost surely, 2^442256520 is an apocalyptic number.

442256520 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

442256520 is an abundant number, since it is smaller than the sum of its proper divisors (884513400).

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

442256520 is a wasteful number, since it uses less digits than its factorization.

442256520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3685485 (or 3685481 counting only the distinct ones).

The product of its (nonzero) digits is 19200, while the sum is 30.

The square root of 442256520 is about 21029.8958627949. The cubic root of 442256520 is about 761.8884936829. Note that the first 3 decimals are identical.

The spelling of 442256520 in words is "four hundred forty-two million, two hundred fifty-six thousand, five hundred twenty".