466024640 has 56 divisors (see below), whose sum is σ = 1118292912. Its totient is φ = 184970240.

The previous prime is 466024639. The next prime is 466024649. The reversal of 466024640 is 46420664.

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 = 466024597 and 466024606.

It is not an unprimeable number, because it can be changed into a prime (466024649) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 36362 + ... + 47478.

Almost surely, 2^466024640 is an apocalyptic number.

466024640 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 466024640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (559146456).

466024640 is an abundant number, since it is smaller than the sum of its proper divisors (652268272).

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

466024640 is a wasteful number, since it uses less digits than its factorization.

466024640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11265 (or 11255 counting only the distinct ones).

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

The square root of 466024640 is about 21587.6038503582. The cubic root of 466024640 is about 775.2997189677.

It can be divided in two parts, 466024 and 640, that added together give a palindrome (466664).

The spelling of 466024640 in words is "four hundred sixty-six million, twenty-four thousand, six hundred forty".