460618752 has 176 divisors, whose sum is σ = 1374797952. Its totient is φ = 135905280.

The previous prime is 460618703. The next prime is 460618777. The reversal of 460618752 is 257816064.

It is a tau number, because it is divible by the number of its divisors (176).

It is a self number, because there is not a number n which added to its sum of digits gives 460618752.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 1452898 + ... + 1453214.

It is an arithmetic number, because the mean of its divisors is an integer number (7811352).

Almost surely, 2^460618752 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 460618752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (687398976).

460618752 is an abundant number, since it is smaller than the sum of its proper divisors (914179200).

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

460618752 is a wasteful number, since it uses less digits than its factorization.

460618752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 394 (or 376 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 39.

The square root of 460618752 is about 21462.0304724413. The cubic root of 460618752 is about 772.2902252953.

The spelling of 460618752 in words is "four hundred sixty million, six hundred eighteen thousand, seven hundred fifty-two".