466325160 has 192 divisors, whose sum is σ = 1651777920. Its totient is φ = 104993280.

The previous prime is 466325149. The next prime is 466325173. The reversal of 466325160 is 61523664.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 416922 + ... + 418038.

It is an arithmetic number, because the mean of its divisors is an integer number (8603010).

Almost surely, 2^466325160 is an apocalyptic number.

466325160 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 466325160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (825888960).

466325160 is an abundant number, since it is smaller than the sum of its proper divisors (1185452760).

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

466325160 is a wasteful number, since it uses less digits than its factorization.

466325160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1216 (or 1205 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 33.

The square root of 466325160 is about 21594.5632046587. The cubic root of 466325160 is about 775.4663360568.

The spelling of 466325160 in words is "four hundred sixty-six million, three hundred twenty-five thousand, one hundred sixty".