424888800 has 216 divisors, whose sum is σ = 1609256376. Its totient is φ = 97090560.

The previous prime is 424888771. The next prime is 424888823. The reversal of 424888800 is 8888424.

It is a Harshad number since it is a multiple of its sum of digits (42).

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 35 ways as a sum of consecutive naturals, for example, 115794 + ... + 119406.

It is an arithmetic number, because the mean of its divisors is an integer number (7450261).

Almost surely, 2^424888800 is an apocalyptic number.

424888800 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 424888800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (804628188).

424888800 is an abundant number, since it is smaller than the sum of its proper divisors (1184367576).

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

424888800 is a wasteful number, since it uses less digits than its factorization.

424888800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3650 (or 3630 counting only the distinct ones).

The product of its (nonzero) digits is 131072, while the sum is 42.

The square root of 424888800 is about 20612.8309554995. The cubic root of 424888800 is about 751.7817195046.

The spelling of 424888800 in words is "four hundred twenty-four million, eight hundred eighty-eight thousand, eight hundred".