427968000 has 240 divisors, whose sum is σ = 1543535136. Its totient is φ = 113971200.

The previous prime is 427967999. The next prime is 427968077. The reversal of 427968000 is 869724.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 575629 + ... + 576371.

Almost surely, 2^427968000 is an apocalyptic number.

427968000 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 427968000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (771767568).

427968000 is an abundant number, since it is smaller than the sum of its proper divisors (1115567136).

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

427968000 is an equidigital number, since it uses as much as digits as its factorization.

427968000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 782 (or 753 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 427968000 is about 20687.3874619296. The cubic root of 427968000 is about 753.5934222586.

The spelling of 427968000 in words is "four hundred twenty-seven million, nine hundred sixty-eight thousand".