629006400 has 567 divisors, whose sum is σ = 2593494813. Its totient is φ = 144460800.

The previous prime is 629006383. The next prime is 629006407. The reversal of 629006400 is 4600926.

The square root of 629006400 is 25080.

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

It can be written as a sum of positive squares in only one way, i.e., 226442304 + 402564096 = 15048^2 + 20064^2 .

It is not an unprimeable number, because it can be changed into a prime (629006407) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 33105591 + ... + 33105609.

Almost surely, 2^629006400 is an apocalyptic number.

629006400 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

629006400 is the 25080-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 629006400

629006400 is an abundant number, since it is smaller than the sum of its proper divisors (1964488413).

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

629006400 is a wasteful number, since it uses less digits than its factorization.

629006400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 88 (or 40 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The cubic root of 629006400 is about 856.8109762761.

The spelling of 629006400 in words is "six hundred twenty-nine million, six thousand, four hundred".