424241000 has 64 divisors (see below), whose sum is σ = 1027026000. Its totient is φ = 163833600.

The previous prime is 424240997. The next prime is 424241021. The reversal of 424241000 is 142424.

It can be written as a sum of positive squares in 8 ways, for example, as 128164 + 424112836 = 358^2 + 20594^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 424241000.

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, 21686 + ... + 36314.

Almost surely, 2^424241000 is an apocalyptic number.

424241000 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 424241000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (513513000).

424241000 is an abundant number, since it is smaller than the sum of its proper divisors (602785000).

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

424241000 is a wasteful number, since it uses less digits than its factorization.

424241000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14679 (or 14665 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 17.

The square root of 424241000 is about 20597.1114479676. Note that the first 3 decimals coincide. The cubic root of 424241000 is about 751.3994611279.

Adding to 424241000 its reverse (142424), we get a palindrome (424383424).

The spelling of 424241000 in words is "four hundred twenty-four million, two hundred forty-one thousand".