466478760 has 256 divisors, whose sum is σ = 1595842560. Its totient is φ = 108103680.

The previous prime is 466478743. The next prime is 466478777. The reversal of 466478760 is 67874664.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (466478743) and next prime (466478777).

It is a super-2 number, since 2×466478760² = 435204867062275200, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4528869 + ... + 4528971.

It is an arithmetic number, because the mean of its divisors is an integer number (6233760).

Almost surely, 2^466478760 is an apocalyptic number.

466478760 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 466478760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (797921280).

466478760 is an abundant number, since it is smaller than the sum of its proper divisors (1129363800).

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

466478760 is a wasteful number, since it uses less digits than its factorization.

466478760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 248 (or 244 counting only the distinct ones).

The product of its (nonzero) digits is 1354752, while the sum is 48.

The square root of 466478760 is about 21598.1193625741. The cubic root of 466478760 is about 775.5514687525.

The spelling of 466478760 in words is "four hundred sixty-six million, four hundred seventy-eight thousand, seven hundred sixty".