463120 has 40 divisors (see below), whose sum is σ = 1232064. Its totient is φ = 158592.

The previous prime is 463103. The next prime is 463157. The reversal of 463120 is 21364.

463120 = T₂₉ + T₃₀ + ... + T₁₄₀.

It is a tau number, because it is divible by the number of its divisors (40).

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a nialpdrome in base 16.

It is a junction number, because it is equal to n+sod(n) for n = 463094 and 463103.

It is an unprimeable number.

463120 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 7 ways as a sum of consecutive naturals, for example, 147 + ... + 973.

2⁴⁶³¹²⁰ is an apocalyptic number.

463120 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 463120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (616032).

463120 is an abundant number, since it is smaller than the sum of its proper divisors (768944).

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

463120 is a wasteful number, since it uses less digits than its factorization.

463120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 847 (or 841 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

The square root of 463120 is about 680.5292058391. The cubic root of 463120 is about 77.3685597211.

Adding to 463120 its reverse (21364), we get a palindrome (484484).

The spelling of 463120 in words is "four hundred sixty-three thousand, one hundred twenty".