629793424 has 60 divisors (see below), whose sum is σ = 1396067764. Its totient is φ = 273549312.

The previous prime is 629793413. The next prime is 629793443. The reversal of 629793424 is 424397926.

It can be written as a sum of positive squares in 6 ways, for example, as 34433424 + 595360000 = 5868^2 + 24400^2 .

It is a super-3 number, since 3×629793424³ (a number of 27 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 54874 + ... + 65350.

Almost surely, 2^629793424 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 629793424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (698033882).

629793424 is an abundant number, since it is smaller than the sum of its proper divisors (766274340).

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

629793424 is a wasteful number, since it uses less digits than its factorization.

629793424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10532 (or 10509 counting only the distinct ones).

The product of its digits is 653184, while the sum is 46.

The square root of 629793424 is about 25095.6853662139. The cubic root of 629793424 is about 857.1681797175.

The spelling of 629793424 in words is "six hundred twenty-nine million, seven hundred ninety-three thousand, four hundred twenty-four".