460735632 has 360 divisors, whose sum is σ = 1667143296. Its totient is φ = 117798912.

The previous prime is 460735619. The next prime is 460735633. The reversal of 460735632 is 236537064.

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

It is not an unprimeable number, because it can be changed into a prime (460735633) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 2758813 + ... + 2758979.

Almost surely, 2^460735632 is an apocalyptic number.

460735632 is a gapful number since it is divisible by the number (42) 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 460735632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (833571648).

460735632 is an abundant number, since it is smaller than the sum of its proper divisors (1206407664).

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

460735632 is a wasteful number, since it uses less digits than its factorization.

460735632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 235 (or 219 counting only the distinct ones).

The product of its (nonzero) digits is 90720, while the sum is 36.

The square root of 460735632 is about 21464.7532480576. The cubic root of 460735632 is about 772.3555415302.

The spelling of 460735632 in words is "four hundred sixty million, seven hundred thirty-five thousand, six hundred thirty-two".