427082040 has 576 divisors, whose sum is σ = 1843845120. Its totient is φ = 84672000.

The previous prime is 427082039. The next prime is 427082069. The reversal of 427082040 is 40280724.

It is a junction number, because it is equal to n+sod(n) for n = 427081995 and 427082013.

It is a congruent number.

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 143 ways as a sum of consecutive naturals, for example, 6015205 + ... + 6015275.

It is an arithmetic number, because the mean of its divisors is an integer number (3201120).

Almost surely, 2^427082040 is an apocalyptic number.

427082040 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 427082040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (921922560).

427082040 is an abundant number, since it is smaller than the sum of its proper divisors (1416763080).

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

427082040 is a wasteful number, since it uses less digits than its factorization.

427082040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 144 (or 130 counting only the distinct ones).

The product of its (nonzero) digits is 3584, while the sum is 27.

The square root of 427082040 is about 20665.9633213649. The cubic root of 427082040 is about 753.0730446646.

The spelling of 427082040 in words is "four hundred twenty-seven million, eighty-two thousand, forty".