460401630 has 96 divisors (see below), whose sum is σ = 1214300160. Its totient is φ = 111646080.

The previous prime is 460401611. The next prime is 460401631. The reversal of 460401630 is 36104064.

It is a self number, because there is not a number n which added to its sum of digits gives 460401630.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (460401631) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 359331 + ... + 360609.

It is an arithmetic number, because the mean of its divisors is an integer number (12648960).

Almost surely, 2^460401630 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 460401630, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (607150080).

460401630 is an abundant number, since it is smaller than the sum of its proper divisors (753898530).

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

460401630 is a wasteful number, since it uses less digits than its factorization.

460401630 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1386 (or 1373 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

The square root of 460401630 is about 21456.9715943327. The cubic root of 460401630 is about 772.1688613321.

Adding to 460401630 its reverse (36104064), we get a palindrome (496505694).

The spelling of 460401630 in words is "four hundred sixty million, four hundred one thousand, six hundred thirty".