427302720 has 336 divisors, whose sum is σ = 1612617552. Its totient is φ = 103219200.

The previous prime is 427302719. The next prime is 427302737. The reversal of 427302720 is 27203724.

It can be written as a sum of positive squares in 8 ways, for example, as 37161216 + 390141504 = 6096^2 + 19752^2 .

It is a super-2 number, since 2×427302720² = 365175229038796800, which contains 22 as substring.

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 47 ways as a sum of consecutive naturals, for example, 3781384 + ... + 3781496.

It is an arithmetic number, because the mean of its divisors is an integer number (4799457).

Almost surely, 2^427302720 is an apocalyptic number.

427302720 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 427302720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (806308776).

427302720 is an abundant number, since it is smaller than the sum of its proper divisors (1185314832).

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

427302720 is a wasteful number, since it uses less digits than its factorization.

427302720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 250 (or 237 counting only the distinct ones).

The product of its (nonzero) digits is 4704, while the sum is 27.

The square root of 427302720 is about 20671.3018457958. The cubic root of 427302720 is about 753.2027305548.

The spelling of 427302720 in words is "four hundred twenty-seven million, three hundred two thousand, seven hundred twenty".