462080 has 54 divisors (see below), whose sum is σ = 1168146. Its totient is φ = 175104.

The previous prime is 462079. The next prime is 462097. The reversal of 462080 is 80264.

It can be written as a sum of positive squares in only one way, i.e., 369664 + 92416 = 608^2 + 304^2 .

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 24311 + ... + 24329.

2⁴⁶²⁰⁸⁰ is an apocalyptic number.

462080 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 462080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (584073).

462080 is an abundant number, since it is smaller than the sum of its proper divisors (706066).

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

462080 is an equidigital number, since it uses as much as digits as its factorization.

462080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 59 (or 26 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

The square root of 462080 is about 679.7646651599. The cubic root of 462080 is about 77.3106023825.

Multiplying 462080 by its sum of digits (20), we get a square (9241600 = 3040²).

462080 divided by its sum of digits (20) gives a square (23104 = 152²).

The spelling of 462080 in words is "four hundred sixty-two thousand, eighty".