460775616 has 336 divisors, whose sum is σ = 1559454336. Its totient is φ = 119218176.

The previous prime is 460775611. The next prime is 460775617. The reversal of 460775616 is 616577064.

It is a tau number, because it is divible by the number of its divisors (336).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is not an unprimeable number, because it can be changed into a prime (460775611) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6877215 + ... + 6877281.

Almost surely, 2^460775616 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 460775616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (779727168).

460775616 is an abundant number, since it is smaller than the sum of its proper divisors (1098678720).

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

460775616 is a wasteful number, since it uses less digits than its factorization.

460775616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 156 (or 139 counting only the distinct ones).

The product of its (nonzero) digits is 211680, while the sum is 42.

The square root of 460775616 is about 21465.6846152178. The cubic root of 460775616 is about 772.3778833162.

The spelling of 460775616 in words is "four hundred sixty million, seven hundred seventy-five thousand, six hundred sixteen".