424116000 has 960 divisors, whose sum is σ = 2054916864. Its totient is φ = 82944000.

The previous prime is 424115959. The next prime is 424116023. The reversal of 424116000 is 611424.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 24947992 + ... + 24948008.

Almost surely, 2^424116000 is an apocalyptic number.

424116000 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 424116000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1027458432).

424116000 is an abundant number, since it is smaller than the sum of its proper divisors (1630800864).

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

424116000 is a wasteful number, since it uses less digits than its factorization.

424116000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 72 (or 45 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 424116000 is about 20594.0768183476. The cubic root of 424116000 is about 751.3256554696.

Adding to 424116000 its reverse (611424), we get a palindrome (424727424).

The spelling of 424116000 in words is "four hundred twenty-four million, one hundred sixteen thousand".