629428800 has 672 divisors, whose sum is σ = 2793821184. Its totient is φ = 119808000.

The previous prime is 629428799. The next prime is 629428801. The reversal of 629428800 is 8824926.

It is an interprime number because it is at equal distance from previous prime (629428799) and next prime (629428801).

It is a tau number, because it is divible by the number of its divisors (672).

It is a super-2 number, since 2×629428800² = 792361228538880000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is not an unprimeable number, because it can be changed into a prime (629428801) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4804735 + ... + 4804865.

It is an arithmetic number, because the mean of its divisors is an integer number (4157472).

Almost surely, 2^629428800 is an apocalyptic number.

629428800 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 629428800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1396910592).

629428800 is an abundant number, since it is smaller than the sum of its proper divisors (2164392384).

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

629428800 is a wasteful number, since it uses less digits than its factorization.

629428800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 187 (or 172 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 39.

The square root of 629428800 is about 25088.4196393476. The cubic root of 629428800 is about 857.0027262982.

The spelling of 629428800 in words is "six hundred twenty-nine million, four hundred twenty-eight thousand, eight hundred".