466964160 has 448 divisors, whose sum is σ = 1769693184. Its totient is φ = 103219200.

The previous prime is 466964149. The next prime is 466964171. The reversal of 466964160 is 61469664.

It is an interprime number because it is at equal distance from previous prime (466964149) and next prime (466964171).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 6576925 + ... + 6576995.

It is an arithmetic number, because the mean of its divisors is an integer number (3950208).

Almost surely, 2^466964160 is an apocalyptic number.

466964160 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 466964160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (884846592).

466964160 is an abundant number, since it is smaller than the sum of its proper divisors (1302729024).

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

466964160 is a wasteful number, since it uses less digits than its factorization.

466964160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 152 (or 142 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 42.

The square root of 466964160 is about 21609.3535303581. The cubic root of 466964160 is about 775.8203785912.

The spelling of 466964160 in words is "four hundred sixty-six million, nine hundred sixty-four thousand, one hundred sixty".