462048 has 24 divisors (see below), whose sum is σ = 1213128. Its totient is φ = 153984.

The previous prime is 462041. The next prime is 462067. The reversal of 462048 is 840264.

It is a tau number, because it is divible by the number of its divisors (24).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a zygodrome in base 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (462041) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2311 + ... + 2502.

It is an arithmetic number, because the mean of its divisors is an integer number (50547).

2⁴⁶²⁰⁴⁸ is an apocalyptic number.

462048 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

462048 is an abundant number, since it is smaller than the sum of its proper divisors (751080).

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

462048 is a wasteful number, since it uses less digits than its factorization.

462048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4826 (or 4818 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

The square root of 462048 is about 679.7411271948. The cubic root of 462048 is about 77.3088177014.

The spelling of 462048 in words is "four hundred sixty-two thousand, forty-eight".