427680000 has 540 divisors, whose sum is σ = 1743229488. Its totient is φ = 103680000.

The previous prime is 427679981. The next prime is 427680017. The reversal of 427680000 is 86724.

It is a tau number, because it is divible by the number of its divisors (540).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 38879995 + ... + 38880005.

Almost surely, 2^427680000 is an apocalyptic number.

427680000 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 427680000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (871614744).

427680000 is an abundant number, since it is smaller than the sum of its proper divisors (1315549488).

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

427680000 is an frugal number, since it uses more digits than its factorization.

427680000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 62 (or 21 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The square root of 427680000 is about 20680.4255275369. The cubic root of 427680000 is about 753.4243413863.

The spelling of 427680000 in words is "four hundred twenty-seven million, six hundred eighty thousand".