629480544 has 384 divisors, whose sum is σ = 2210955264. Its totient is φ = 152064000.

The previous prime is 629480497. The next prime is 629480557. The reversal of 629480544 is 445084926.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 629480496 and 629480505.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 9395199 + ... + 9395265.

It is an arithmetic number, because the mean of its divisors is an integer number (5757696).

Almost surely, 2^629480544 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 629480544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1105477632).

629480544 is an abundant number, since it is smaller than the sum of its proper divisors (1581474720).

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

629480544 is a wasteful number, since it uses less digits than its factorization.

629480544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 170 (or 162 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 42.

The square root of 629480544 is about 25089.4508509054. The cubic root of 629480544 is about 857.0262097771.

The spelling of 629480544 in words is "six hundred twenty-nine million, four hundred eighty thousand, five hundred forty-four".