460649430 has 80 divisors (see below), whose sum is σ = 1259075664. Its totient is φ = 120813120.

The previous prime is 460649417. The next prime is 460649437. The reversal of 460649430 is 34946064.

460649430 is a `hidden beast` number, since 4 + 6 + 0 + 649 + 4 + 3 + 0 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (460649437) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 44749 + ... + 54071.

Almost surely, 2^460649430 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 460649430, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (629537832).

460649430 is an abundant number, since it is smaller than the sum of its proper divisors (798426234).

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

460649430 is a wasteful number, since it uses less digits than its factorization.

460649430 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9403 (or 9394 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 36.

The square root of 460649430 is about 21462.7451645869. The cubic root of 460649430 is about 772.3073701998.

The spelling of 460649430 in words is "four hundred sixty million, six hundred forty-nine thousand, four hundred thirty".