629280 has 144 divisors (see below), whose sum is σ = 2358720. Its totient is φ = 152064.

The previous prime is 629263. The next prime is 629281. The reversal of 629280 is 82926.

It is a tau number, because it is divible by the number of its divisors (144).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (629281) by changing a digit.

629280 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 27349 + ... + 27371.

It is an arithmetic number, because the mean of its divisors is an integer number (16380).

2⁶²⁹²⁸⁰ is an apocalyptic number.

629280 is a gapful number since it is divisible by the number (60) 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 629280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1179360).

629280 is an abundant number, since it is smaller than the sum of its proper divisors (1729440).

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

629280 is a wasteful number, since it uses less digits than its factorization.

629280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 63 (or 52 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 629280 is about 793.2717062898. The cubic root of 629280 is about 85.6935187785.

It can be divided in two parts, 629 and 280, that added together give a palindrome (909).

The spelling of 629280 in words is "six hundred twenty-nine thousand, two hundred eighty".