421629448900 has 81 divisors (see below), whose sum is σ = 1005843744493. Its totient is φ = 153293826400.

The previous prime is 421629448847. The next prime is 421629448909. The reversal of 421629448900 is 9844926124.

It is a happy number.

The square root of 421629448900 is 649330.

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., 151786601604 + 269842847296 = 389598^2 + 519464^2 .

It is a super-2 number, since 2×421629448900² (a number of 24 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (421629448909) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 71423349 + ... + 71429251.

Almost surely, 2^421629448900 is an apocalyptic number.

421629448900 is the 649330-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 421629448900

421629448900 is an abundant number, since it is smaller than the sum of its proper divisors (584214295593).

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

421629448900 is an equidigital number, since it uses as much as digits as its factorization.

421629448900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11842 (or 5921 counting only the distinct ones).

The product of its (nonzero) digits is 995328, while the sum is 49.

Multiplying 421629448900 by its sum of digits (49), we get a square (20659842996100 = 4545310²).

The spelling of 421629448900 in words is "four hundred twenty-one billion, six hundred twenty-nine million, four hundred forty-eight thousand, nine hundred".