629716416 has 112 divisors (see below), whose sum is σ = 1923409920. Its totient is φ = 178099200.

The previous prime is 629716393. The next prime is 629716457. The reversal of 629716416 is 614617926.

It is a tau number, because it is divible by the number of its divisors (112).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 133425 + ... + 138063.

Almost surely, 2^629716416 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 629716416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (961704960).

629716416 is an abundant number, since it is smaller than the sum of its proper divisors (1293693504).

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

629716416 is a wasteful number, since it uses less digits than its factorization.

629716416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4762 (or 4752 counting only the distinct ones).

The product of its digits is 108864, while the sum is 42.

The square root of 629716416 is about 25094.1510316647. The cubic root of 629716416 is about 857.1332415429.

The spelling of 629716416 in words is "six hundred twenty-nine million, seven hundred sixteen thousand, four hundred sixteen".