427468800 has 432 divisors, whose sum is σ = 1620833760. Its totient is φ = 99123200.

The previous prime is 427468793. The next prime is 427468831. The reversal of 427468800 is 8864724.

It is a super-3 number, since 3×427468800³ (a number of 27 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 18585589 + ... + 18585611.

It is an arithmetic number, because the mean of its divisors is an integer number (3751930).

Almost surely, 2^427468800 is an apocalyptic number.

427468800 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 427468800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (810416880).

427468800 is an abundant number, since it is smaller than the sum of its proper divisors (1193364960).

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

427468800 is a wasteful number, since it uses less digits than its factorization.

427468800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 80 (or 44 counting only the distinct ones).

The product of its (nonzero) digits is 86016, while the sum is 39.

The square root of 427468800 is about 20675.3186190685. The cubic root of 427468800 is about 753.3003004981.

The spelling of 427468800 in words is "four hundred twenty-seven million, four hundred sixty-eight thousand, eight hundred".