462720 has 64 divisors (see below), whose sum is σ = 1481040. Its totient is φ = 122880.

The previous prime is 462719. The next prime is 462727. The reversal of 462720 is 27264.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (64).

It is a zygodrome in base 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (462727) 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, 1800 + ... + 2040.

2⁴⁶²⁷²⁰ is an apocalyptic number.

462720 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 462720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (740520).

462720 is an abundant number, since it is smaller than the sum of its proper divisors (1018320).

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

462720 is a wasteful number, since it uses less digits than its factorization.

462720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 263 (or 251 counting only the distinct ones).

The product of its (nonzero) digits is 672, while the sum is 21.

The square root of 462720 is about 680.2352534234. The cubic root of 462720 is about 77.3462787154.

Adding to 462720 its reverse (27264), we get a palindrome (489984).

The spelling of 462720 in words is "four hundred sixty-two thousand, seven hundred twenty".