427513320 has 192 divisors, whose sum is σ = 1508008320. Its totient is φ = 104412672.

The previous prime is 427513309. The next prime is 427513321. The reversal of 427513320 is 23315724.

It is not an unprimeable number, because it can be changed into a prime (427513321) 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 47 ways as a sum of consecutive naturals, for example, 781287 + ... + 781833.

It is an arithmetic number, because the mean of its divisors is an integer number (7854210).

Almost surely, 2^427513320 is an apocalyptic number.

427513320 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 427513320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (754004160).

427513320 is an abundant number, since it is smaller than the sum of its proper divisors (1080495000).

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

427513320 is a wasteful number, since it uses less digits than its factorization.

427513320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 744 (or 737 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 27.

The square root of 427513320 is about 20676.3952370813. The cubic root of 427513320 is about 753.3264511514.

The spelling of 427513320 in words is "four hundred twenty-seven million, five hundred thirteen thousand, three hundred twenty".