424398800 has 180 divisors, whose sum is σ = 1209476160. Its totient is φ = 142652160.

The previous prime is 424398781. The next prime is 424398809. The reversal of 424398800 is 8893424.

It is a super-2 number, since 2×424398800² = 360228682882880000, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (424398809) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1156217 + ... + 1156583.

It is an arithmetic number, because the mean of its divisors is an integer number (6719312).

Almost surely, 2^424398800 is an apocalyptic number.

424398800 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 424398800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (604738080).

424398800 is an abundant number, since it is smaller than the sum of its proper divisors (785077360).

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

424398800 is a wasteful number, since it uses less digits than its factorization.

424398800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 458 (or 440 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 38.

The square root of 424398800 is about 20600.9417260474. The cubic root of 424398800 is about 751.4926126911.

The spelling of 424398800 in words is "four hundred twenty-four million, three hundred ninety-eight thousand, eight hundred".