427368960 has 280 divisors, whose sum is σ = 1543031820. Its totient is φ = 113467392.

The previous prime is 427368943. The next prime is 427368961. The reversal of 427368960 is 69863724.

It can be written as a sum of positive squares in 2 ways, for example, as 412252416 + 15116544 = 20304^2 + 3888^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (427368961) by changing a digit.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 1866126 + ... + 1866354.

Almost surely, 2^427368960 is an apocalyptic number.

427368960 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 427368960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (771515910).

427368960 is an abundant number, since it is smaller than the sum of its proper divisors (1115662860).

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

427368960 is an frugal number, since it uses more digits than its factorization.

427368960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 270 (or 239 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 45.

The square root of 427368960 is about 20672.9040050013. The cubic root of 427368960 is about 753.2416487649.

The spelling of 427368960 in words is "four hundred twenty-seven million, three hundred sixty-eight thousand, nine hundred sixty".