466631424 has 108 divisors (see below), whose sum is σ = 1537668496. Its totient is φ = 133318656.

The previous prime is 466631371. The next prime is 466631447. The reversal of 466631424 is 424136664.

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

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1662 + ... + 30594.

Almost surely, 2^466631424 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 466631424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (768834248).

466631424 is an abundant number, since it is smaller than the sum of its proper divisors (1071037072).

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

466631424 is a wasteful number, since it uses less digits than its factorization.

466631424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28962 (or 28945 counting only the distinct ones).

The product of its digits is 82944, while the sum is 36.

The square root of 466631424 is about 21601.6532700625. The cubic root of 466631424 is about 775.6360641552.

The spelling of 466631424 in words is "four hundred sixty-six million, six hundred thirty-one thousand, four hundred twenty-four".