427311360 has 324 divisors, whose sum is σ = 1722104748. Its totient is φ = 97542144.

The previous prime is 427311359. The next prime is 427311419. The reversal of 427311360 is 63113724.

It can be written as a sum of positive squares in 2 ways, for example, as 208744704 + 218566656 = 14448^2 + 14784^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 564102 + ... + 564858.

Almost surely, 2^427311360 is an apocalyptic number.

427311360 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 427311360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (861052374).

427311360 is an abundant number, since it is smaller than the sum of its proper divisors (1294793388).

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

427311360 is a wasteful number, since it uses less digits than its factorization.

427311360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 798 (or 774 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 27.

The square root of 427311360 is about 20671.5108301256. The cubic root of 427311360 is about 753.2078070712.

The spelling of 427311360 in words is "four hundred twenty-seven million, three hundred eleven thousand, three hundred sixty".