462648 has 32 divisors (see below), whose sum is σ = 1190160. Its totient is φ = 149760.

The previous prime is 462643. The next prime is 462653. The reversal of 462648 is 846264.

It is an interprime number because it is at equal distance from previous prime (462643) and next prime (462653).

It is a nude number because it is divisible by every one of its digits.

It is an Ulam number.

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 (462641) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 628 + ... + 1148.

2⁴⁶²⁶⁴⁸ is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 462648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (595080).

462648 is an abundant number, since it is smaller than the sum of its proper divisors (727512).

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

462648 is a wasteful number, since it uses less digits than its factorization.

462648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 567 (or 563 counting only the distinct ones).

The product of its digits is 9216, while the sum is 30.

The square root of 462648 is about 680.1823284973. The cubic root of 462648 is about 77.3422667709.

The spelling of 462648 in words is "four hundred sixty-two thousand, six hundred forty-eight".