629438040 has 576 divisors, whose sum is σ = 2739260160. Its totient is φ = 126282240.

The previous prime is 629438021. The next prime is 629438057. The reversal of 629438040 is 40834926.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 629437986 and 629438004.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 21704746 + ... + 21704774.

It is an arithmetic number, because the mean of its divisors is an integer number (4755660).

Almost surely, 2^629438040 is an apocalyptic number.

629438040 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 629438040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1369630080).

629438040 is an abundant number, since it is smaller than the sum of its proper divisors (2109822120).

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

629438040 is a wasteful number, since it uses less digits than its factorization.

629438040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 102 (or 57 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The square root of 629438040 is about 25088.6037873772. The cubic root of 629438040 is about 857.0069198709.

The spelling of 629438040 in words is "six hundred twenty-nine million, four hundred thirty-eight thousand, forty".