427490000 has 200 divisors, whose sum is σ = 1227207168. Its totient is φ = 141120000.

The previous prime is 427489943. The next prime is 427490003. The reversal of 427490000 is 94724.

It is a tau number, because it is divible by the number of its divisors (200).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (427490003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 2169902 + ... + 2170098.

Almost surely, 2^427490000 is an apocalyptic number.

427490000 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 427490000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (613603584).

427490000 is an abundant number, since it is smaller than the sum of its proper divisors (799717168).

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

427490000 is a wasteful number, since it uses less digits than its factorization.

427490000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 263 (or 242 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 26.

The square root of 427490000 is about 20675.8313013044. The cubic root of 427490000 is about 753.3127534166.

The spelling of 427490000 in words is "four hundred twenty-seven million, four hundred ninety thousand".