466120296 has 96 divisors (see below), whose sum is σ = 1293084000. Its totient is φ = 151638912.

The previous prime is 466120289. The next prime is 466120357. The reversal of 466120296 is 692021664.

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

It is a self number, because there is not a number n which added to its sum of digits gives 466120296.

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, 760086 + ... + 760698.

It is an arithmetic number, because the mean of its divisors is an integer number (13469625).

Almost surely, 2^466120296 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 466120296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (646542000).

466120296 is an abundant number, since it is smaller than the sum of its proper divisors (826963704).

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

466120296 is a wasteful number, since it uses less digits than its factorization.

466120296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 863 (or 856 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The square root of 466120296 is about 21589.8192674232. The cubic root of 466120296 is about 775.3527612248.

The spelling of 466120296 in words is "four hundred sixty-six million, one hundred twenty thousand, two hundred ninety-six".