629284992 has 128 divisors (see below), whose sum is σ = 1921810560. Its totient is φ = 178716672.

The previous prime is 629284987. The next prime is 629284993. The reversal of 629284992 is 299482926.

It is a tau number, because it is divible by the number of its divisors (128).

It is not an unprimeable number, because it can be changed into a prime (629284993) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 518178 + ... + 519390.

It is an arithmetic number, because the mean of its divisors is an integer number (15014145).

Almost surely, 2^629284992 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 629284992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (960905280).

629284992 is an abundant number, since it is smaller than the sum of its proper divisors (1292525568).

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

629284992 is a wasteful number, since it uses less digits than its factorization.

629284992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1430 (or 1418 counting only the distinct ones).

The product of its digits is 1119744, while the sum is 51.

The square root of 629284992 is about 25085.5534521366. The cubic root of 629284992 is about 856.9374537658.

The spelling of 629284992 in words is "six hundred twenty-nine million, two hundred eighty-four thousand, nine hundred ninety-two".