427264080 has 160 divisors (see below), whose sum is σ = 1361162880. Its totient is φ = 110837760.

The previous prime is 427264073. The next prime is 427264087. The reversal of 427264080 is 80462724.

It is an interprime number because it is at equal distance from previous prime (427264073) and next prime (427264087).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (427264087) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 1772760 + ... + 1773000.

It is an arithmetic number, because the mean of its divisors is an integer number (8507268).

Almost surely, 2^427264080 is an apocalyptic number.

427264080 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 427264080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (680581440).

427264080 is an abundant number, since it is smaller than the sum of its proper divisors (933898800).

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

427264080 is a wasteful number, since it uses less digits than its factorization.

427264080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 429 (or 423 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 33.

The square root of 427264080 is about 20670.3671955773. The cubic root of 427264080 is about 753.1800264082.

The spelling of 427264080 in words is "four hundred twenty-seven million, two hundred sixty-four thousand, eighty".