427372960 has 96 divisors (see below), whose sum is σ = 1161482112. Its totient is φ = 145566720.

The previous prime is 427372951. The next prime is 427372963. The reversal of 427372960 is 69273724.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is not an unprimeable number, because it can be changed into a prime (427372963) 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 15 ways as a sum of consecutive naturals, for example, 181390 + ... + 183730.

It is an arithmetic number, because the mean of its divisors is an integer number (12098772).

Almost surely, 2^427372960 is an apocalyptic number.

427372960 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 427372960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (580741056).

427372960 is an abundant number, since it is smaller than the sum of its proper divisors (734109152).

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

427372960 is a wasteful number, since it uses less digits than its factorization.

427372960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2526 (or 2518 counting only the distinct ones).

The product of its (nonzero) digits is 127008, while the sum is 40.

The square root of 427372960 is about 20673.0007497702. Note that the first 3 decimals coincide. The cubic root of 427372960 is about 753.2439987696.

The spelling of 427372960 in words is "four hundred twenty-seven million, three hundred seventy-two thousand, nine hundred sixty".