463920 has 40 divisors (see below), whose sum is σ = 1438896. Its totient is φ = 123648.

The previous prime is 463919. The next prime is 463921. The reversal of 463920 is 29364.

463920 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (463919) and next prime (463921).

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 (24).

It is not an unprimeable number, because it can be changed into a prime (463921) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 727 + ... + 1206.

2⁴⁶³⁹²⁰ is an apocalyptic number.

463920 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

463920 is an abundant number, since it is smaller than the sum of its proper divisors (974976).

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

463920 is a wasteful number, since it uses less digits than its factorization.

463920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1949 (or 1943 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 24.

The square root of 463920 is about 681.1167300838. The cubic root of 463920 is about 77.4130832733.

The spelling of 463920 in words is "four hundred sixty-three thousand, nine hundred twenty".