463102960 has 80 divisors (see below), whose sum is σ = 1142784000. Its totient is φ = 174037248.

The previous prime is 463102951. The next prime is 463102963. The reversal of 463102960 is 69201364.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (463102963) 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, 191841 + ... + 194239.

It is an arithmetic number, because the mean of its divisors is an integer number (14284800).

Almost surely, 2^463102960 is an apocalyptic number.

463102960 is a gapful number since it is divisible by the number (40) 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 463102960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (571392000).

463102960 is an abundant number, since it is smaller than the sum of its proper divisors (679681040).

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

463102960 is a wasteful number, since it uses less digits than its factorization.

463102960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2558 (or 2552 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 31.

The square root of 463102960 is about 21519.8271368522. The cubic root of 463102960 is about 773.6761081189.

The spelling of 463102960 in words is "four hundred sixty-three million, one hundred two thousand, nine hundred sixty".