42468800 has 168 divisors, whose sum is σ = 120944640. Its totient is φ = 14515200.

The previous prime is 42468799. The next prime is 42468817. The reversal of 42468800 is 886424.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 334337 + ... + 334463.

Almost surely, 2^42468800 is an apocalyptic number.

42468800 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 42468800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60472320).

42468800 is an abundant number, since it is smaller than the sum of its proper divisors (78475840).

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

42468800 is a wasteful number, since it uses less digits than its factorization.

42468800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 179 (or 164 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 32.

The square root of 42468800 is about 6516.8090351030. The cubic root of 42468800 is about 348.8911848125.

The spelling of 42468800 in words is "forty-two million, four hundred sixty-eight thousand, eight hundred".