442525440 has 288 divisors, whose sum is σ = 1641217536. Its totient is φ = 99532800.

The previous prime is 442525399. The next prime is 442525493. The reversal of 442525440 is 44525244.

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

It is a junction number, because it is equal to n+sod(n) for n = 442525398 and 442525407.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2714799 + ... + 2714961.

It is an arithmetic number, because the mean of its divisors is an integer number (5698672).

Almost surely, 2^442525440 is an apocalyptic number.

442525440 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 442525440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (820608768).

442525440 is an abundant number, since it is smaller than the sum of its proper divisors (1198692096).

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

442525440 is a wasteful number, since it uses less digits than its factorization.

442525440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 295 (or 281 counting only the distinct ones).

The product of its (nonzero) digits is 25600, while the sum is 30.

The square root of 442525440 is about 21036.2886460516. The cubic root of 442525440 is about 762.0428878941.

The spelling of 442525440 in words is "four hundred forty-two million, five hundred twenty-five thousand, four hundred forty".