427047192 has 384 divisors, whose sum is σ = 1493856000. Its totient is φ = 108241920.

The previous prime is 427047169. The next prime is 427047197. The reversal of 427047192 is 291740724.

427047192 is a `hidden beast` number, since 427 + 0 + 47 + 192 = 666.

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 (427047197) 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 95 ways as a sum of consecutive naturals, for example, 7238059 + ... + 7238117.

It is an arithmetic number, because the mean of its divisors is an integer number (3890250).

Almost surely, 2^427047192 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 427047192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (746928000).

427047192 is an abundant number, since it is smaller than the sum of its proper divisors (1066808808).

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

427047192 is a wasteful number, since it uses less digits than its factorization.

427047192 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 151 (or 144 counting only the distinct ones).

The product of its (nonzero) digits is 28224, while the sum is 36.

The square root of 427047192 is about 20665.1201786972. The cubic root of 427047192 is about 753.0525616342.

The spelling of 427047192 in words is "four hundred twenty-seven million, forty-seven thousand, one hundred ninety-two".