427740640 has 48 divisors (see below), whose sum is σ = 1015075152. Its totient is φ = 170328064.

The previous prime is 427740623. The next prime is 427740661. The reversal of 427740640 is 46047724.

It is a junction number, because it is equal to n+sod(n) for n = 427740596 and 427740605.

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 30432 + ... + 42208.

It is an arithmetic number, because the mean of its divisors is an integer number (21147399).

Almost surely, 2^427740640 is an apocalyptic number.

427740640 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 427740640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (507537576).

427740640 is an abundant number, since it is smaller than the sum of its proper divisors (587334512).

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

427740640 is a wasteful number, since it uses less digits than its factorization.

427740640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12019 (or 12011 counting only the distinct ones).

The product of its (nonzero) digits is 37632, while the sum is 34.

The square root of 427740640 is about 20681.8915962733. The cubic root of 427740640 is about 753.4599486105.

The spelling of 427740640 in words is "four hundred twenty-seven million, seven hundred forty thousand, six hundred forty".