442513000 has 128 divisors (see below), whose sum is σ = 1089728640. Its totient is φ = 168000000.

The previous prime is 442512947. The next prime is 442513061. The reversal of 442513000 is 315244.

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, 1762875 + ... + 1763125.

It is an arithmetic number, because the mean of its divisors is an integer number (8513505).

Almost surely, 2^442513000 is an apocalyptic number.

442513000 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 442513000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (544864320).

442513000 is an abundant number, since it is smaller than the sum of its proper divisors (647215640).

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

442513000 is a wasteful number, since it uses less digits than its factorization.

442513000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 356 (or 342 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 19.

The square root of 442513000 is about 21035.9929644407. The cubic root of 442513000 is about 762.0357471352.

Adding to 442513000 its reverse (315244), we get a palindrome (442828244).

The spelling of 442513000 in words is "four hundred forty-two million, five hundred thirteen thousand".