427080960 has 216 divisors, whose sum is σ = 1494196704. Its totient is φ = 112619520.

The previous prime is 427080959. The next prime is 427080961. The reversal of 427080960 is 69080724.

It is an interprime number because it is at equal distance from previous prime (427080959) and next prime (427080961).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (427080961) 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, 1508979 + ... + 1509261.

Almost surely, 2^427080960 is an apocalyptic number.

427080960 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 427080960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (747098352).

427080960 is an abundant number, since it is smaller than the sum of its proper divisors (1067115744).

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

427080960 is a wasteful number, since it uses less digits than its factorization.

427080960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 441 (or 424 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 427080960 is about 20665.9371914269. The cubic root of 427080960 is about 753.0724098767.

The spelling of 427080960 in words is "four hundred twenty-seven million, eighty thousand, nine hundred sixty".