466622240 has 96 divisors (see below), whose sum is σ = 1289312640. Its totient is φ = 156248064.

The previous prime is 466622213. The next prime is 466622249. The reversal of 466622240 is 42226664.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a junction number, because it is equal to n+sod(n) for n = 466622197 and 466622206.

It is not an unprimeable number, because it can be changed into a prime (466622249) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 43316 + ... + 53004.

It is an arithmetic number, because the mean of its divisors is an integer number (13430340).

Almost surely, 2^466622240 is an apocalyptic number.

466622240 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 466622240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (644656320).

466622240 is an abundant number, since it is smaller than the sum of its proper divisors (822690400).

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

466622240 is a wasteful number, since it uses less digits than its factorization.

466622240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9754 (or 9746 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 32.

The square root of 466622240 is about 21601.4406926945. The cubic root of 466622240 is about 775.6309755650.

The spelling of 466622240 in words is "four hundred sixty-six million, six hundred twenty-two thousand, two hundred forty".