466108560 has 160 divisors (see below), whose sum is σ = 1657512960. Its totient is φ = 120268800.

The previous prime is 466108549. The next prime is 466108597. The reversal of 466108560 is 65801664.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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 31 ways as a sum of consecutive naturals, for example, 63480 + ... + 70440.

It is an arithmetic number, because the mean of its divisors is an integer number (10359456).

Almost surely, 2^466108560 is an apocalyptic number.

466108560 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 466108560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (828756480).

466108560 is an abundant number, since it is smaller than the sum of its proper divisors (1191404400).

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

466108560 is a wasteful number, since it uses less digits than its factorization.

466108560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7014 (or 7002 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 466108560 is about 21589.5474709407. The cubic root of 466108560 is about 775.3462538801.

The spelling of 466108560 in words is "four hundred sixty-six million, one hundred eight thousand, five hundred sixty".