462427056 has 240 divisors, whose sum is σ = 1653060864. Its totient is φ = 121865472.

The previous prime is 462427051. The next prime is 462427057. The reversal of 462427056 is 650724264.

462427056 is a `hidden beast` number, since 4 + 624 + 27 + 0 + 5 + 6 = 666.

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

It is a self number, because there is not a number n which added to its sum of digits gives 462427056.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (462427051) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 353155 + ... + 354461.

Almost surely, 2^462427056 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 462427056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (826530432).

462427056 is an abundant number, since it is smaller than the sum of its proper divisors (1190633808).

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

462427056 is a wasteful number, since it uses less digits than its factorization.

462427056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1350 (or 1332 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 36.

The square root of 462427056 is about 21504.1171871807. The cubic root of 462427056 is about 773.2995285131.

The spelling of 462427056 in words is "four hundred sixty-two million, four hundred twenty-seven thousand, fifty-six".