423129600 has 180 divisors, whose sum is σ = 1514676306. Its totient is φ = 112803840.

The previous prime is 423129599. The next prime is 423129613. The reversal of 423129600 is 6921324.

423129600 is a `hidden beast` number, since 4 + 2 + 31 + 29 + 600 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 205979904 + 217149696 = 14352^2 + 14736^2 .

It is a tau number, because it is divible by the number of its divisors (180).

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 113364 + ... + 117036.

Almost surely, 2^423129600 is an apocalyptic number.

423129600 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 423129600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (757338153).

423129600 is an abundant number, since it is smaller than the sum of its proper divisors (1091546706).

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

423129600 is a wasteful number, since it uses less digits than its factorization.

423129600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3707 (or 3683 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The square root of 423129600 is about 20570.1142437275. The cubic root of 423129600 is about 750.7427308916.

The spelling of 423129600 in words is "four hundred twenty-three million, one hundred twenty-nine thousand, six hundred".