629987904 has 504 divisors, whose sum is σ = 2418926328. Its totient is φ = 154828800.

The previous prime is 629987903. The next prime is 629987923. The reversal of 629987904 is 409789926.

629987904 is a `hidden beast` number, since 629 + 9 + 8 + 7 + 9 + 0 + 4 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 223562304 + 406425600 = 14952^2 + 20160^2 .

It is a tau number, because it is divible by the number of its divisors (504).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (629987903) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 6237454 + ... + 6237554.

It is an arithmetic number, because the mean of its divisors is an integer number (4799457).

Almost surely, 2^629987904 is an apocalyptic number.

629987904 is a gapful number since it is divisible by the number (64) 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 629987904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1209463164).

629987904 is an abundant number, since it is smaller than the sum of its proper divisors (1788938424).

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

629987904 is a wasteful number, since it uses less digits than its factorization.

629987904 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 163 (or 143 counting only the distinct ones).

The product of its (nonzero) digits is 1959552, while the sum is 54.

The square root of 629987904 is about 25099.5598367780. The cubic root of 629987904 is about 857.2564017201.

The spelling of 629987904 in words is "six hundred twenty-nine million, nine hundred eighty-seven thousand, nine hundred four".