424405000 has 80 divisors (see below), whose sum is σ = 1053084780. Its totient is φ = 159744000.

The previous prime is 424404977. The next prime is 424405021. The reversal of 424405000 is 504424.

It can be written as a sum of positive squares in 10 ways, for example, as 19027044 + 405377956 = 4362^2 + 20134^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 82504 + ... + 87496.

Almost surely, 2^424405000 is an apocalyptic number.

424405000 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 424405000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (526542390).

424405000 is an abundant number, since it is smaller than the sum of its proper divisors (628679780).

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

424405000 is a wasteful number, since it uses less digits than its factorization.

424405000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5036 (or 5017 counting only the distinct ones).

The product of its (nonzero) digits is 640, while the sum is 19.

The square root of 424405000 is about 20601.0922040556. The cubic root of 424405000 is about 751.4962721669.

Adding to 424405000 its reverse (504424), we get a palindrome (424909424).

The spelling of 424405000 in words is "four hundred twenty-four million, four hundred five thousand".