466632936 has 192 divisors, whose sum is σ = 1598613120. Its totient is φ = 119439360.

The previous prime is 466632923. The next prime is 466632973. The reversal of 466632936 is 639236664.

It is a happy number.

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

It is a junction number, because it is equal to n+sod(n) for n = 466632891 and 466632900.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 404136 + ... + 405288.

It is an arithmetic number, because the mean of its divisors is an integer number (8326110).

Almost surely, 2^466632936 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 466632936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (799306560).

466632936 is an abundant number, since it is smaller than the sum of its proper divisors (1131980184).

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

466632936 is a wasteful number, since it uses less digits than its factorization.

466632936 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1256 (or 1249 counting only the distinct ones).

The product of its digits is 839808, while the sum is 45.

The square root of 466632936 is about 21601.6882673554. The cubic root of 466632936 is about 775.6369019045.

The spelling of 466632936 in words is "four hundred sixty-six million, six hundred thirty-two thousand, nine hundred thirty-six".