424624200 has 576 divisors, whose sum is σ = 1816758720. Its totient is φ = 80640000.

The previous prime is 424624169. The next prime is 424624201. The reversal of 424624200 is 2426424.

It is a super-2 number, since 2×424624200² = 360611422451280000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (424624201) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 4204150 + ... + 4204250.

It is an arithmetic number, because the mean of its divisors is an integer number (3154095).

Almost surely, 2^424624200 is an apocalyptic number.

424624200 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 424624200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (908379360).

424624200 is an abundant number, since it is smaller than the sum of its proper divisors (1392134520).

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

424624200 is a wasteful number, since it uses less digits than its factorization.

424624200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 158 (or 142 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 24.

The square root of 424624200 is about 20606.4116235700. The cubic root of 424624200 is about 751.6256294483.

The spelling of 424624200 in words is "four hundred twenty-four million, six hundred twenty-four thousand, two hundred".