629328960 has 336 divisors, whose sum is σ = 2409626880. Its totient is φ = 154552320.

The previous prime is 629328929. The next prime is 629328977. The reversal of 629328960 is 69823926.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1459945 + ... + 1460375.

Almost surely, 2^629328960 is an apocalyptic number.

629328960 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 629328960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1204813440).

629328960 is an abundant number, since it is smaller than the sum of its proper divisors (1780297920).

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

629328960 is a wasteful number, since it uses less digits than its factorization.

629328960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 483 (or 454 counting only the distinct ones).

The product of its (nonzero) digits is 279936, while the sum is 45.

The square root of 629328960 is about 25086.4297978010. The cubic root of 629328960 is about 856.9574113096.

It can be divided in two parts, 6293 and 28960, that added together give a palindrome (35253).

The spelling of 629328960 in words is "six hundred twenty-nine million, three hundred twenty-eight thousand, nine hundred sixty".