629878900 has 144 divisors (see below), whose sum is σ = 1695641472. Its totient is φ = 198144000.

The previous prime is 629878841. The next prime is 629878901. The reversal of 629878900 is 9878926.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (629878901) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 487255 + ... + 488545.

It is an arithmetic number, because the mean of its divisors is an integer number (11775288).

Almost surely, 2^629878900 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 629878900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (847820736).

629878900 is an abundant number, since it is smaller than the sum of its proper divisors (1065762572).

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

629878900 is a wasteful number, since it uses less digits than its factorization.

629878900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1370 (or 1363 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 49.

The square root of 629878900 is about 25097.3883103402. The cubic root of 629878900 is about 857.2069564498.

The spelling of 629878900 in words is "six hundred twenty-nine million, eight hundred seventy-eight thousand, nine hundred".