466750240 has 72 divisors (see below), whose sum is σ = 1212106140. Its totient is φ = 169720320.

The previous prime is 466750217. The next prime is 466750241. The reversal of 466750240 is 42057664.

It can be written as a sum of positive squares in 2 ways, for example, as 466732816 + 17424 = 21604^2 + 132^2 .

It is a junction number, because it is equal to n+sod(n) for n = 466750196 and 466750205.

It is not an unprimeable number, because it can be changed into a prime (466750241) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 7306 + ... + 31414.

Almost surely, 2^466750240 is an apocalyptic number.

466750240 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 466750240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (606053070).

466750240 is an abundant number, since it is smaller than the sum of its proper divisors (745355900).

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

466750240 is a wasteful number, since it uses less digits than its factorization.

466750240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24146 (or 24127 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 34.

The square root of 466750240 is about 21604.4032548923. The cubic root of 466750240 is about 775.7018906649.

The spelling of 466750240 in words is "four hundred sixty-six million, seven hundred fifty thousand, two hundred forty".