629608464 has 225 divisors, whose sum is σ = 1984132711. Its totient is φ = 192706560.

The previous prime is 629608459. The next prime is 629608477. The reversal of 629608464 is 464806926.

The square root of 629608464 is 25092.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 44355600 + 585252864 = 6660^2 + 24192^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 15356284 + ... + 15356324.

Almost surely, 2^629608464 is an apocalyptic number.

629608464 is the 25092-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 629608464

629608464 is an abundant number, since it is smaller than the sum of its proper divisors (1354524247).

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

629608464 is a wasteful number, since it uses less digits than its factorization.

629608464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 136 (or 63 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 45.

The cubic root of 629608464 is about 857.0842594227.

The spelling of 629608464 in words is "six hundred twenty-nine million, six hundred eight thousand, four hundred sixty-four".