427248000 has 512 divisors, whose sum is σ = 1680307200. Its totient is φ = 106444800.

The previous prime is 427247987. The next prime is 427248011. The reversal of 427248000 is 842724.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 9935979 + ... + 9936021.

It is an arithmetic number, because the mean of its divisors is an integer number (3281850).

Almost surely, 2^427248000 is an apocalyptic number.

427248000 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 427248000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (840153600).

427248000 is an abundant number, since it is smaller than the sum of its proper divisors (1253059200).

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

427248000 is a wasteful number, since it uses less digits than its factorization.

427248000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 104 (or 76 counting only the distinct ones).

The product of its (nonzero) digits is 3584, while the sum is 27.

The square root of 427248000 is about 20669.9782293064. The cubic root of 427248000 is about 753.1705776954.

The spelling of 427248000 in words is "four hundred twenty-seven million, two hundred forty-eight thousand".