462480 has 80 divisors (see below), whose sum is σ = 1499904. Its totient is φ = 117760.

The previous prime is 462467. The next prime is 462481. The reversal of 462480 is 84264.

It is a tau number, because it is divible by the number of its divisors (80).

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

It is a self number, because there is not a number n which added to its sum of digits gives 462480.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (462481) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9817 + ... + 9863.

2⁴⁶²⁴⁸⁰ is an apocalyptic number.

462480 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 462480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (749952).

462480 is an abundant number, since it is smaller than the sum of its proper divisors (1037424).

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

462480 is a wasteful number, since it uses less digits than its factorization.

462480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 104 (or 98 counting only the distinct ones).

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

The square root of 462480 is about 680.0588209854. The cubic root of 462480 is about 77.3329039479.

The spelling of 462480 in words is "four hundred sixty-two thousand, four hundred eighty".