463760 has 80 divisors (see below), whose sum is σ = 1285632. Its totient is φ = 153600.

The previous prime is 463753. The next prime is 463763. The reversal of 463760 is 67364.

463760 = T₁₅₄ + T₁₅₅ + ... + T₁₈₅.

It is a Cunningham number, because it is equal to 681²-1.

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

463760 is a Rhonda number in base 15.

It is not an unprimeable number, because it can be changed into a prime (463763) by changing a digit.

463760 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 14945 + ... + 14975.

2⁴⁶³⁷⁶⁰ is an apocalyptic number.

463760 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 463760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (642816).

463760 is an abundant number, since it is smaller than the sum of its proper divisors (821872).

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

463760 is a wasteful number, since it uses less digits than its factorization.

463760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 72 (or 66 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 26.

The square root of 463760 is about 680.9992657852. Note that the first 3 decimals coincide. The cubic root of 463760 is about 77.4041826601.

The spelling of 463760 in words is "four hundred sixty-three thousand, seven hundred sixty".