424645200 has 480 divisors, whose sum is σ = 1782385920. Its totient is φ = 94003200.

The previous prime is 424645171. The next prime is 424645213. The reversal of 424645200 is 2546424.

It is a Harshad number since it is a multiple of its sum of digits (27).

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 95 ways as a sum of consecutive naturals, for example, 3099532 + ... + 3099668.

It is an arithmetic number, because the mean of its divisors is an integer number (3713304).

Almost surely, 2^424645200 is an apocalyptic number.

424645200 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 424645200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (891192960).

424645200 is an abundant number, since it is smaller than the sum of its proper divisors (1357740720).

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

424645200 is a wasteful number, since it uses less digits than its factorization.

424645200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 212 (or 195 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 27.

The square root of 424645200 is about 20606.9211674136. The cubic root of 424645200 is about 751.6380199166.

The spelling of 424645200 in words is "four hundred twenty-four million, six hundred forty-five thousand, two hundred".