424861200 has 420 divisors, whose sum is σ = 1613372928. Its totient is φ = 107308800.

The previous prime is 424861141. The next prime is 424861201. The reversal of 424861200 is 2168424.

424861200 is a `hidden beast` number, since 4 + 2 + 48 + 612 + 0 + 0 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (424861201) by changing a digit.

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 83 ways as a sum of consecutive naturals, for example, 9039577 + ... + 9039623.

Almost surely, 2^424861200 is an apocalyptic number.

424861200 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 424861200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (806686464).

424861200 is an abundant number, since it is smaller than the sum of its proper divisors (1188511728).

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

424861200 is a wasteful number, since it uses less digits than its factorization.

424861200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 114 (or 88 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

The square root of 424861200 is about 20612.1614587117. The cubic root of 424861200 is about 751.7654410299.

The spelling of 424861200 in words is "four hundred twenty-four million, eight hundred sixty-one thousand, two hundred".