427986000 has 480 divisors, whose sum is σ = 1689891840. Its totient is φ = 100224000.

The previous prime is 427985977. The next prime is 427986007. The reversal of 427986000 is 689724.

427986000 is a `hidden beast` number, since 42 + 7 + 9 + 8 + 600 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (427986007) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 7253971 + ... + 7254029.

It is an arithmetic number, because the mean of its divisors is an integer number (3520608).

Almost surely, 2^427986000 is an apocalyptic number.

427986000 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 427986000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (844945920).

427986000 is an abundant number, since it is smaller than the sum of its proper divisors (1261905840).

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

427986000 is a wasteful number, since it uses less digits than its factorization.

427986000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 132 (or 113 counting only the distinct ones).

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

The square root of 427986000 is about 20687.8225050390. The cubic root of 427986000 is about 753.6039872941.

The spelling of 427986000 in words is "four hundred twenty-seven million, nine hundred eighty-six thousand".