427800960 has 256 divisors, whose sum is σ = 1596096000. Its totient is φ = 107993088.

The previous prime is 427800949. The next prime is 427800973. The reversal of 427800960 is 69008724.

It is a super-2 number, since 2×427800960² = 366027322753843200, which contains 22 as substring.

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 31 ways as a sum of consecutive naturals, for example, 327669 + ... + 328971.

It is an arithmetic number, because the mean of its divisors is an integer number (6234750).

Almost surely, 2^427800960 is an apocalyptic number.

427800960 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 427800960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (798048000).

427800960 is an abundant number, since it is smaller than the sum of its proper divisors (1168295040).

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

427800960 is a wasteful number, since it uses less digits than its factorization.

427800960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1350 (or 1332 counting only the distinct ones).

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

The square root of 427800960 is about 20683.3498254030. The cubic root of 427800960 is about 753.4953645952.

The spelling of 427800960 in words is "four hundred twenty-seven million, eight hundred thousand, nine hundred sixty".