427306000 has 80 divisors (see below), whose sum is σ = 1127213568. Its totient is φ = 155376000.

The previous prime is 427305979. The next prime is 427306003. The reversal of 427306000 is 603724.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (22).

It is not an unprimeable number, because it can be changed into a prime (427306003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12289 + ... + 31711.

Almost surely, 2^427306000 is an apocalyptic number.

427306000 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 427306000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (563606784).

427306000 is an abundant number, since it is smaller than the sum of its proper divisors (699907568).

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

427306000 is a wasteful number, since it uses less digits than its factorization.

427306000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19457 (or 19441 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 22.

The square root of 427306000 is about 20671.3811826883. The cubic root of 427306000 is about 753.2046577589.

Adding to 427306000 its reverse (603724), we get a palindrome (427909724).

The spelling of 427306000 in words is "four hundred twenty-seven million, three hundred six thousand".