427682472 has 128 divisors (see below), whose sum is σ = 1269058560. Its totient is φ = 117573120.

The previous prime is 427682467. The next prime is 427682501. The reversal of 427682472 is 274286724.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 526947 + ... + 527757.

It is an arithmetic number, because the mean of its divisors is an integer number (9914520).

Almost surely, 2^427682472 is an apocalyptic number.

427682472 is a gapful number since it is divisible by the number (42) 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 427682472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (634529280).

427682472 is an abundant number, since it is smaller than the sum of its proper divisors (841376088).

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

427682472 is a wasteful number, since it uses less digits than its factorization.

427682472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 943 (or 939 counting only the distinct ones).

The product of its digits is 301056, while the sum is 42.

The square root of 427682472 is about 20680.4852941124. The cubic root of 427682472 is about 753.4257929867.

The spelling of 427682472 in words is "four hundred twenty-seven million, six hundred eighty-two thousand, four hundred seventy-two".