629986464 has 192 divisors, whose sum is σ = 1944391680. Its totient is φ = 198132480.

The previous prime is 629986451. The next prime is 629986499. The reversal of 629986464 is 464689926.

629986464 = 4493² + 4494² + ... + 4523².

629986464 is a `hidden beast` number, since 629 + 9 + 8 + 6 + 4 + 6 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 629986464.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1151439 + ... + 1151985.

It is an arithmetic number, because the mean of its divisors is an integer number (10127040).

Almost surely, 2^629986464 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 629986464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (972195840).

629986464 is an abundant number, since it is smaller than the sum of its proper divisors (1314405216).

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

629986464 is a wasteful number, since it uses less digits than its factorization.

629986464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 640 (or 626 counting only the distinct ones).

The product of its digits is 4478976, while the sum is 54.

The square root of 629986464 is about 25099.5311509996. The cubic root of 629986464 is about 857.2557485594.

The spelling of 629986464 in words is "six hundred twenty-nine million, nine hundred eighty-six thousand, four hundred sixty-four".