466320960 has 168 divisors, whose sum is σ = 1833164736. Its totient is φ = 106583040.

The previous prime is 466320949. The next prime is 466320973. The reversal of 466320960 is 69023664.

It is a tau number, because it is divible by the number of its divisors (168).

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8595 + ... + 31725.

Almost surely, 2^466320960 is an apocalyptic number.

466320960 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 466320960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (916582368).

466320960 is an abundant number, since it is smaller than the sum of its proper divisors (1366843776).

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

466320960 is a wasteful number, since it uses less digits than its factorization.

466320960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23161 (or 23148 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 36.

The square root of 466320960 is about 21594.4659577402. The cubic root of 466320960 is about 775.4640079471.

The spelling of 466320960 in words is "four hundred sixty-six million, three hundred twenty thousand, nine hundred sixty".