427042720 has 144 divisors (see below), whose sum is σ = 1157972760. Its totient is φ = 148242432.

The previous prime is 427042709. The next prime is 427042723. The reversal of 427042720 is 27240724.

It can be written as a sum of positive squares in 12 ways, for example, as 24960016 + 402082704 = 4996^2 + 20052^2 .

It is not an unprimeable number, because it can be changed into a prime (427042723) 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 23 ways as a sum of consecutive naturals, for example, 459216 + ... + 460144.

Almost surely, 2^427042720 is an apocalyptic number.

427042720 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 427042720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (578986380).

427042720 is an abundant number, since it is smaller than the sum of its proper divisors (730930040).

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

427042720 is a wasteful number, since it uses less digits than its factorization.

427042720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 987 (or 966 counting only the distinct ones).

The product of its (nonzero) digits is 6272, while the sum is 28.

The square root of 427042720 is about 20665.0119767688. The cubic root of 427042720 is about 753.0499329920.

The spelling of 427042720 in words is "four hundred twenty-seven million, forty-two thousand, seven hundred twenty".