629830144 has 60 divisors (see below), whose sum is σ = 1337427234. Its totient is φ = 295288832.

The previous prime is 629830139. The next prime is 629830153. The reversal of 629830144 is 441038926.

It can be written as a sum of positive squares in 3 ways, for example, as 324000000 + 305830144 = 18000^2 + 17488^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 2341242 + ... + 2341510.

Almost surely, 2^629830144 is an apocalyptic number.

629830144 is a gapful number since it is divisible by the number (64) 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 629830144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (668713617).

629830144 is an abundant number, since it is smaller than the sum of its proper divisors (707597090).

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

629830144 is an frugal number, since it uses more digits than its factorization.

629830144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 573 (or 288 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 37.

The square root of 629830144 is about 25096.4169554142. The cubic root of 629830144 is about 857.1848384094.

The spelling of 629830144 in words is "six hundred twenty-nine million, eight hundred thirty thousand, one hundred forty-four".