427131936 has 432 divisors, whose sum is σ = 1631290752. Its totient is φ = 103403520.

The previous prime is 427131899. The next prime is 427131937. The reversal of 427131936 is 639131724.

It is a super-2 number, since 2×427131936² = 364883381502216192, which contains 22 as substring.

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

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

It is a self number, because there is not a number n which added to its sum of digits gives 427131936.

It is not an unprimeable number, because it can be changed into a prime (427131937) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 4146861 + ... + 4146963.

It is an arithmetic number, because the mean of its divisors is an integer number (3776136).

Almost surely, 2^427131936 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 427131936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (815645376).

427131936 is an abundant number, since it is smaller than the sum of its proper divisors (1204158816).

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

427131936 is a wasteful number, since it uses less digits than its factorization.

427131936 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 165 (or 143 counting only the distinct ones).

The product of its digits is 27216, while the sum is 36.

The square root of 427131936 is about 20667.1704884825. The cubic root of 427131936 is about 753.1023707003.

The spelling of 427131936 in words is "four hundred twenty-seven million, one hundred thirty-one thousand, nine hundred thirty-six".