629424 has 80 divisors (see below), whose sum is σ = 1904640. Its totient is φ = 198720.

The previous prime is 629417. The next prime is 629429. The reversal of 629424 is 424926.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (629429) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 13369 + ... + 13415.

It is an arithmetic number, because the mean of its divisors is an integer number (23808).

2⁶²⁹⁴²⁴ 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 629424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (952320).

629424 is an abundant number, since it is smaller than the sum of its proper divisors (1275216).

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

629424 is a wasteful number, since it uses less digits than its factorization.

629424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 95 (or 83 counting only the distinct ones).

The product of its digits is 3456, while the sum is 27.

The square root of 629424 is about 793.3624644511. The cubic root of 629424 is about 85.7000547803.

The spelling of 629424 in words is "six hundred twenty-nine thousand, four hundred twenty-four".