466386960 has 160 divisors (see below), whose sum is σ = 1576649088. Its totient is φ = 113356800.

The previous prime is 466386937. The next prime is 466386979. The reversal of 466386960 is 69683664.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 258060 + ... + 259860.

Almost surely, 2^466386960 is an apocalyptic number.

466386960 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 466386960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (788324544).

466386960 is an abundant number, since it is smaller than the sum of its proper divisors (1110262128).

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

466386960 is a wasteful number, since it uses less digits than its factorization.

466386960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1913 (or 1907 counting only the distinct ones).

The product of its (nonzero) digits is 1119744, while the sum is 48.

The square root of 466386960 is about 21595.9940729757. The cubic root of 466386960 is about 775.5005909122.

The spelling of 466386960 in words is "four hundred sixty-six million, three hundred eighty-six thousand, nine hundred sixty".