462840 has 128 divisors (see below), whose sum is σ = 1728000. Its totient is φ = 96768.

The previous prime is 462827. The next prime is 462841. The reversal of 462840 is 48264.

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

It is a nialpdrome in base 15.

It is a zygodrome in base 2.

It is a self number, because there is not a number n which added to its sum of digits gives 462840.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (462841) by changing a digit.

462840 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 31 ways as a sum of consecutive naturals, for example, 15946 + ... + 15974.

It is an arithmetic number, because the mean of its divisors is an integer number (13500).

2⁴⁶²⁸⁴⁰ is an apocalyptic number.

462840 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 462840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (864000).

462840 is an abundant number, since it is smaller than the sum of its proper divisors (1265160).

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

462840 is a wasteful number, since it uses less digits than its factorization.

462840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 69 (or 65 counting only the distinct ones).

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

The square root of 462840 is about 680.3234524842. The cubic root of 462840 is about 77.3529643649.

The spelling of 462840 in words is "four hundred sixty-two thousand, eight hundred forty".