427009968 has 300 divisors, whose sum is σ = 1556514960. Its totient is φ = 110626560.

The previous prime is 427009939. The next prime is 427009981. The reversal of 427009968 is 869900724.

It is a happy number.

It is a super-2 number, since 2×427009968² = 364675025542722048, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 1097518 + ... + 1097906.

Almost surely, 2^427009968 is an apocalyptic number.

427009968 is a gapful number since it is divisible by the number (48) 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 427009968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (778257480).

427009968 is an abundant number, since it is smaller than the sum of its proper divisors (1129504992).

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

427009968 is a wasteful number, since it uses less digits than its factorization.

427009968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 438 (or 412 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 45.

The square root of 427009968 is about 20664.2195110292. The cubic root of 427009968 is about 753.0306808026.

The spelling of 427009968 in words is "four hundred twenty-seven million, nine thousand, nine hundred sixty-eight".