442407960 has 256 divisors, whose sum is σ = 1539648000. Its totient is φ = 112919040.

The previous prime is 442407943. The next prime is 442407971. The reversal of 442407960 is 69704244.

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 3377095 + ... + 3377225.

It is an arithmetic number, because the mean of its divisors is an integer number (6014250).

Almost surely, 2^442407960 is an apocalyptic number.

442407960 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 442407960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (769824000).

442407960 is an abundant number, since it is smaller than the sum of its proper divisors (1097240040).

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

442407960 is a wasteful number, since it uses less digits than its factorization.

442407960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 263 (or 253 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The square root of 442407960 is about 21033.4961430571. The cubic root of 442407960 is about 761.9754471598.

The spelling of 442407960 in words is "four hundred forty-two million, four hundred seven thousand, nine hundred sixty".