630432288 has 192 divisors, whose sum is σ = 1916006400. Its totient is φ = 201519360.

The previous prime is 630432259. The next prime is 630432317. The reversal of 630432288 is 882234036.

It is an interprime number because it is at equal distance from previous prime (630432259) and next prime (630432317).

It is a Harshad number since it is a multiple of its sum of digits (36).

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 31 ways as a sum of consecutive naturals, for example, 2637673 + ... + 2637911.

It is an arithmetic number, because the mean of its divisors is an integer number (9979200).

Almost surely, 2^630432288 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 630432288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (958003200).

630432288 is an abundant number, since it is smaller than the sum of its proper divisors (1285574112).

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

630432288 is a wasteful number, since it uses less digits than its factorization.

630432288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 372 (or 358 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 36.

The square root of 630432288 is about 25108.4107023921. The cubic root of 630432288 is about 857.4579196060.

The spelling of 630432288 in words is "six hundred thirty million, four hundred thirty-two thousand, two hundred eighty-eight".