633420400 has 60 divisors (see below), whose sum is σ = 1525060872. Its totient is φ = 252824320.

The previous prime is 633420397. The next prime is 633420421. The reversal of 633420400 is 4024336.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 221379 + ... + 224221.

Almost surely, 2^633420400 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 633420400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (762530436).

633420400 is an abundant number, since it is smaller than the sum of its proper divisors (891640472).

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

633420400 is a wasteful number, since it uses less digits than its factorization.

633420400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3418 (or 3407 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 22.

The square root of 633420400 is about 25167.8445640464. The cubic root of 633420400 is about 858.8105062434.

Adding to 633420400 its reverse (4024336), we get a palindrome (637444736).

The spelling of 633420400 in words is "six hundred thirty-three million, four hundred twenty thousand, four hundred".