631030400 has 384 divisors, whose sum is σ = 2103615360. Its totient is φ = 180633600.

The previous prime is 631030399. The next prime is 631030403. The reversal of 631030400 is 4030136.

It is not an unprimeable number, because it can be changed into a prime (631030403) by changing a digit.

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, 3203102 + ... + 3203298.

It is an arithmetic number, because the mean of its divisors is an integer number (5478165).

Almost surely, 2^631030400 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 631030400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1051807680).

631030400 is an abundant number, since it is smaller than the sum of its proper divisors (1472584960).

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

631030400 is a wasteful number, since it uses less digits than its factorization.

631030400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 252 (or 235 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 17.

The square root of 631030400 is about 25120.3184693188. The cubic root of 631030400 is about 857.7290001426.

Adding to 631030400 its reverse (4030136), we get a palindrome (635060536).

The spelling of 631030400 in words is "six hundred thirty-one million, thirty thousand, four hundred".