423561600 has 576 divisors, whose sum is σ = 1894164480. Its totient is φ = 87552000.

The previous prime is 423561577. The next prime is 423561643. The reversal of 423561600 is 6165324.

423561600 is a `hidden beast` number, since 4 + 2 + 3 + 56 + 1 + 600 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 2217505 + ... + 2217695.

It is an arithmetic number, because the mean of its divisors is an integer number (3288480).

Almost surely, 2^423561600 is an apocalyptic number.

423561600 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 423561600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (947082240).

423561600 is an abundant number, since it is smaller than the sum of its proper divisors (1470602880).

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

423561600 is a wasteful number, since it uses less digits than its factorization.

423561600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 239 (or 219 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The square root of 423561600 is about 20580.6122357912. The cubic root of 423561600 is about 750.9981377055.

It can be divided in two parts, 42356 and 1600, that added together give a triangular number (43956 = T₂₉₆).

The spelling of 423561600 in words is "four hundred twenty-three million, five hundred sixty-one thousand, six hundred".