460538352 has 80 divisors (see below), whose sum is σ = 1326938880. Its totient is φ = 152929728.

The previous prime is 460538341. The next prime is 460538389. The reversal of 460538352 is 253835064.

It is a happy number.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 120373 + ... + 124139.

It is an arithmetic number, because the mean of its divisors is an integer number (16586736).

Almost surely, 2^460538352 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 460538352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (663469440).

460538352 is an abundant number, since it is smaller than the sum of its proper divisors (866400528).

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

460538352 is a wasteful number, since it uses less digits than its factorization.

460538352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4067 (or 4055 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 36.

The square root of 460538352 is about 21460.1573153600. The cubic root of 460538352 is about 772.2452888217.

The spelling of 460538352 in words is "four hundred sixty million, five hundred thirty-eight thousand, three hundred fifty-two".