462055680 has 216 divisors, whose sum is σ = 1683601920. Its totient is φ = 116674560.

The previous prime is 462055679. The next prime is 462055681. The reversal of 462055680 is 86550264.

462055680 is a `hidden beast` number, since 4 + 6 + 20 + 556 + 80 = 666.

It is an interprime number because it is at equal distance from previous prime (462055679) and next prime (462055681).

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

It is not an unprimeable number, because it can be changed into a prime (462055681) 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 23 ways as a sum of consecutive naturals, for example, 217825 + ... + 219935.

Almost surely, 2^462055680 is an apocalyptic number.

462055680 is a gapful number since it is divisible by the number (40) 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 462055680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (841800960).

462055680 is an abundant number, since it is smaller than the sum of its proper divisors (1221546240).

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

462055680 is a wasteful number, since it uses less digits than its factorization.

462055680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2157 (or 2140 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 36.

The square root of 462055680 is about 21495.4804552027. The cubic root of 462055680 is about 773.0924603237.

The spelling of 462055680 in words is "four hundred sixty-two million, fifty-five thousand, six hundred eighty".