462440 has 32 divisors (see below), whose sum is σ = 1136160. Its totient is φ = 168000.

The previous prime is 462437. The next prime is 462443. The reversal of 462440 is 44264.

It is an interprime number because it is at equal distance from previous prime (462437) and next prime (462443).

It is a Smith number, since the sum of its digits (20) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is not an unprimeable number, because it can be changed into a prime (462443) 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, 86 + ... + 965.

It is an arithmetic number, because the mean of its divisors is an integer number (35505).

2⁴⁶²⁴⁴⁰ is an apocalyptic number.

462440 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 462440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (568080).

462440 is an abundant number, since it is smaller than the sum of its proper divisors (673720).

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

462440 is a wasteful number, since it uses less digits than its factorization.

462440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1073 (or 1069 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 20.

The square root of 462440 is about 680.0294111287. The cubic root of 462440 is about 77.3306743702.

It can be divided in two parts, 4624 and 40, that added together give a palindrome (4664).

The spelling of 462440 in words is "four hundred sixty-two thousand, four hundred forty".