424442000 has 80 divisors (see below), whose sum is σ = 1071038592. Its totient is φ = 162377600.

The previous prime is 424441991. The next prime is 424442063. The reversal of 424442000 is 244424.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×424442000² = 360302022728000000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 41387 + ... + 50613.

Almost surely, 2^424442000 is an apocalyptic number.

424442000 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 424442000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (535519296).

424442000 is an abundant number, since it is smaller than the sum of its proper divisors (646596592).

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

424442000 is a wasteful number, since it uses less digits than its factorization.

424442000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9273 (or 9257 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 20.

The square root of 424442000 is about 20601.9901951244. The cubic root of 424442000 is about 751.5181102336.

Adding to 424442000 its reverse (244424), we get a palindrome (424686424).

It can be divided in two parts, 42444 and 2000, that added together give a palindrome (44444).

The spelling of 424442000 in words is "four hundred twenty-four million, four hundred forty-two thousand".