442270500 has 192 divisors, whose sum is σ = 1494624768. Its totient is φ = 99532800.

The previous prime is 442270489. The next prime is 442270513. The reversal of 442270500 is 5072244.

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, 766212 + ... + 766788.

It is an arithmetic number, because the mean of its divisors is an integer number (7784504).

Almost surely, 2^442270500 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 442270500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (747312384).

442270500 is an abundant number, since it is smaller than the sum of its proper divisors (1052354268).

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

442270500 is a wasteful number, since it uses less digits than its factorization.

442270500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 679 (or 667 counting only the distinct ones).

The product of its (nonzero) digits is 2240, while the sum is 24.

The square root of 442270500 is about 21030.2282441252. The cubic root of 442270500 is about 761.8965215193.

The spelling of 442270500 in words is "four hundred forty-two million, two hundred seventy thousand, five hundred".