629440 has 56 divisors (see below), whose sum is σ = 1719072. Its totient is φ = 215040.

The previous prime is 629429. The next prime is 629449. The reversal of 629440 is 44926.

It is a tau number, because it is divible by the number of its divisors (56).

It is a hoax number, since the sum of its digits (25) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (629449) by changing a digit.

629440 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2100 + ... + 2380.

2⁶²⁹⁴⁴⁰ is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 629440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (859536).

629440 is an abundant number, since it is smaller than the sum of its proper divisors (1089632).

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

629440 is a wasteful number, since it uses less digits than its factorization.

629440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 305 (or 295 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 25.

The square root of 629440 is about 793.3725480504. The cubic root of 629440 is about 85.7007809411.

The spelling of 629440 in words is "six hundred twenty-nine thousand, four hundred forty".