442508640 has 384 divisors, whose sum is σ = 1727889408. Its totient is φ = 92897280.

The previous prime is 442508639. The next prime is 442508653. The reversal of 442508640 is 46805244.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3484257 + ... + 3484383.

It is an arithmetic number, because the mean of its divisors is an integer number (4499712).

Almost surely, 2^442508640 is an apocalyptic number.

442508640 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 442508640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (863944704).

442508640 is an abundant number, since it is smaller than the sum of its proper divisors (1285380768).

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

442508640 is a wasteful number, since it uses less digits than its factorization.

442508640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 230 (or 222 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 33.

The square root of 442508640 is about 21035.8893322816. The cubic root of 442508640 is about 762.0332443939.

The spelling of 442508640 in words is "four hundred forty-two million, five hundred eight thousand, six hundred forty".