423168000 has 384 divisors, whose sum is σ = 1533168000. Its totient is φ = 103219200.

The previous prime is 423167977. The next prime is 423168061. The reversal of 423168000 is 861324.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (384).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 14591986 + ... + 14592014.

It is an arithmetic number, because the mean of its divisors is an integer number (3992625).

Almost surely, 2^423168000 is an apocalyptic number.

423168000 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 423168000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (766584000).

423168000 is an abundant number, since it is smaller than the sum of its proper divisors (1110000000).

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

423168000 is a wasteful number, since it uses less digits than its factorization.

423168000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 88 (or 58 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

The square root of 423168000 is about 20571.0476155202. The cubic root of 423168000 is about 750.7654407571.

The spelling of 423168000 in words is "four hundred twenty-three million, one hundred sixty-eight thousand".