427753872 has 420 divisors, whose sum is σ = 1587350784. Its totient is φ = 109175040.

The previous prime is 427753871. The next prime is 427753889. The reversal of 427753872 is 278357724.

427753872 is a `hidden beast` number, since 42 + 7 + 7 + 538 + 72 = 666.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

Its product of digits (658560) is a multiple of the sum of its prime divisors (56).

It is not an unprimeable number, because it can be changed into a prime (427753871) 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 83 ways as a sum of consecutive naturals, for example, 13798497 + ... + 13798527.

Almost surely, 2^427753872 is an apocalyptic number.

427753872 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 427753872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (793675392).

427753872 is an abundant number, since it is smaller than the sum of its proper divisors (1159596912).

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

427753872 is a wasteful number, since it uses less digits than its factorization.

427753872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 90 (or 56 counting only the distinct ones).

The product of its digits is 658560, while the sum is 45.

The square root of 427753872 is about 20682.2114871694. The cubic root of 427753872 is about 753.4677178662.

The spelling of 427753872 in words is "four hundred twenty-seven million, seven hundred fifty-three thousand, eight hundred seventy-two".