424006000 has 80 divisors (see below), whose sum is σ = 1118508768. Its totient is φ = 154176000.

The previous prime is 424005983. The next prime is 424006019. The reversal of 424006000 is 600424.

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

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12364 + ... + 31636.

Almost surely, 2^424006000 is an apocalyptic number.

424006000 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 424006000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (559254384).

424006000 is an abundant number, since it is smaller than the sum of its proper divisors (694502768).

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

424006000 is a wasteful number, since it uses less digits than its factorization.

424006000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19307 (or 19291 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 16.

The square root of 424006000 is about 20591.4059743379. The cubic root of 424006000 is about 751.2606944933.

Adding to 424006000 its reverse (600424), we get a palindrome (424606424).

It can be divided in two parts, 42400 and 6000, that added together give a square (48400 = 220²).

The spelling of 424006000 in words is "four hundred twenty-four million, six thousand".