462127680 has 392 divisors, whose sum is σ = 1892271552. Its totient is φ = 105255936.

The previous prime is 462127663. The next prime is 462127681. The reversal of 462127680 is 86721264.

462127680 is a `hidden beast` number, since 4 + 621 + 27 + 6 + 8 + 0 = 666.

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 (462127681) 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 55 ways as a sum of consecutive naturals, for example, 1632819 + ... + 1633101.

Almost surely, 2^462127680 is an apocalyptic number.

462127680 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 462127680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (946135776).

462127680 is an abundant number, since it is smaller than the sum of its proper divisors (1430143872).

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

462127680 is an equidigital number, since it uses as much as digits as its factorization.

462127680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 325 (or 300 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The square root of 462127680 is about 21497.1551606253. The cubic root of 462127680 is about 773.1326140459.

The spelling of 462127680 in words is "four hundred sixty-two million, one hundred twenty-seven thousand, six hundred eighty".