629400616 has 48 divisors (see below), whose sum is σ = 1286768160. Its totient is φ = 288475200.

The previous prime is 629400521. The next prime is 629400617. The reversal of 629400616 is 616004926.

It is a super-2 number, since 2×629400616² = 792290270842358912, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (629400617) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 202611 + ... + 205693.

It is an arithmetic number, because the mean of its divisors is an integer number (26807670).

Almost surely, 2^629400616 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 629400616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (643384080).

629400616 is an abundant number, since it is smaller than the sum of its proper divisors (657367544).

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

629400616 is a wasteful number, since it uses less digits than its factorization.

629400616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3266 (or 3249 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 34.

The square root of 629400616 is about 25087.8579396488. The cubic root of 629400616 is about 856.9899347400.

The spelling of 629400616 in words is "six hundred twenty-nine million, four hundred thousand, six hundred sixteen".