1629427200 has 120 divisors (see below), whose sum is σ = 5382837768. Its totient is φ = 434503680.

The previous prime is 1629427171. The next prime is 1629427211. The reversal of 1629427200 is 27249261.

It is a tau number, because it is divible by the number of its divisors (120).

It is a congruent number.

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 11 ways as a sum of consecutive naturals, for example, 17184 + ... + 59616.

Almost surely, 2^1629427200 is an apocalyptic number.

1629427200 is a gapful number since it is divisible by the number (10) 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 1629427200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2691418884).

1629427200 is an abundant number, since it is smaller than the sum of its proper divisors (3753410568).

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

1629427200 is an equidigital number, since it uses as much as digits as its factorization.

1629427200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42464 (or 42443 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 33.

The square root of 1629427200 is about 40366.1640486187. The cubic root of 1629427200 is about 1176.7340504853.

The spelling of 1629427200 in words is "one billion, six hundred twenty-nine million, four hundred twenty-seven thousand, two hundred".