466959360 has 352 divisors, whose sum is σ = 1763891712. Its totient is φ = 103219200.

The previous prime is 466959359. The next prime is 466959407. The reversal of 466959360 is 63959664.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4623310 + ... + 4623410.

It is an arithmetic number, because the mean of its divisors is an integer number (5011056).

Almost surely, 2^466959360 is an apocalyptic number.

466959360 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 466959360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (881945856).

466959360 is an abundant number, since it is smaller than the sum of its proper divisors (1296932352).

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

466959360 is a wasteful number, since it uses less digits than its factorization.

466959360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 179 (or 161 counting only the distinct ones).

The product of its (nonzero) digits is 1049760, while the sum is 48.

The square root of 466959360 is about 21609.2424670556. The cubic root of 466959360 is about 775.8177203211.

The spelling of 466959360 in words is "four hundred sixty-six million, nine hundred fifty-nine thousand, three hundred sixty".