629433420 has 144 divisors (see below), whose sum is σ = 2236647168. Its totient is φ = 130784640.

The previous prime is 629433419. The next prime is 629433439. The reversal of 629433420 is 24334926.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 22609 + ... + 42071.

It is an arithmetic number, because the mean of its divisors is an integer number (15532272).

Almost surely, 2^629433420 is an apocalyptic number.

629433420 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 629433420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1118323584).

629433420 is an abundant number, since it is smaller than the sum of its proper divisors (1607213748).

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

629433420 is a wasteful number, since it uses less digits than its factorization.

629433420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19500 (or 19491 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 33.

The square root of 629433420 is about 25088.5117135314. The cubic root of 629433420 is about 857.0048230897.

The spelling of 629433420 in words is "six hundred twenty-nine million, four hundred thirty-three thousand, four hundred twenty".