466971960 has 384 divisors, whose sum is σ = 1809864000. Its totient is φ = 95477760.

The previous prime is 466971943. The next prime is 466971971. The reversal of 466971960 is 69179664.

It is a super-2 number, since 2×466971960² = 436125622852483200, which contains 22 as substring.

It is a congruent number.

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 95 ways as a sum of consecutive naturals, for example, 3133966 + ... + 3134114.

Almost surely, 2^466971960 is an apocalyptic number.

466971960 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 466971960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (904932000).

466971960 is an abundant number, since it is smaller than the sum of its proper divisors (1342892040).

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

466971960 is a wasteful number, since it uses less digits than its factorization.

466971960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 231 (or 220 counting only the distinct ones).

The product of its (nonzero) digits is 489888, while the sum is 48.

The square root of 466971960 is about 21609.5340070072. The cubic root of 466971960 is about 775.8246982412.

The spelling of 466971960 in words is "four hundred sixty-six million, nine hundred seventy-one thousand, nine hundred sixty".