427056960 has 224 divisors, whose sum is σ = 1520537472. Its totient is φ = 100638720.

The previous prime is 427056937. The next prime is 427056979. The reversal of 427056960 is 69650724.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 390174 + ... + 391266.

Almost surely, 2^427056960 is an apocalyptic number.

427056960 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 427056960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (760268736).

427056960 is an abundant number, since it is smaller than the sum of its proper divisors (1093480512).

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

427056960 is a wasteful number, since it uses less digits than its factorization.

427056960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1161 (or 1151 counting only the distinct ones).

The product of its (nonzero) digits is 90720, while the sum is 39.

The square root of 427056960 is about 20665.3565176118. The cubic root of 427056960 is about 753.0583032020.

The spelling of 427056960 in words is "four hundred twenty-seven million, fifty-six thousand, nine hundred sixty".