462520 has 32 divisors (see below), whose sum is σ = 1077120. Its totient is φ = 178560.

The previous prime is 462499. The next prime is 462529. The reversal of 462520 is 25264.

It is a nialpdrome in base 9.

It is a zygodrome in base 9.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (462529) 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, 1054 + ... + 1426.

It is an arithmetic number, because the mean of its divisors is an integer number (33660).

2⁴⁶²⁵²⁰ is an apocalyptic number.

462520 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 462520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (538560).

462520 is an abundant number, since it is smaller than the sum of its proper divisors (614600).

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

462520 is a wasteful number, since it uses less digits than its factorization.

462520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 415 (or 411 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 19.

The square root of 462520 is about 680.0882295703. The cubic root of 462520 is about 77.3351333971.

Adding to 462520 its reverse (25264), we get a palindrome (487784).

The spelling of 462520 in words is "four hundred sixty-two thousand, five hundred twenty".