460630752 has 96 divisors (see below), whose sum is σ = 1268628480. Its totient is φ = 146065920.

The previous prime is 460630741. The next prime is 460630757. The reversal of 460630752 is 257036064.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (460630757) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 505177 + ... + 506087.

It is an arithmetic number, because the mean of its divisors is an integer number (13214880).

Almost surely, 2^460630752 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 460630752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (634314240).

460630752 is an abundant number, since it is smaller than the sum of its proper divisors (807997728).

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

460630752 is a wasteful number, since it uses less digits than its factorization.

460630752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1176 (or 1168 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 33.

The square root of 460630752 is about 21462.3100341040. The cubic root of 460630752 is about 772.2969317832.

The spelling of 460630752 in words is "four hundred sixty million, six hundred thirty thousand, seven hundred fifty-two".