630806400 has 576 divisors, whose sum is σ = 2703510000. Its totient is φ = 143216640.

The previous prime is 630806357. The next prime is 630806447. The reversal of 630806400 is 4608036.

It is a tau number, because it is divible by the number of its divisors (576).

It is a Harshad number since it is a multiple of its sum of digits (27).

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 71 ways as a sum of consecutive naturals, for example, 4233526 + ... + 4233674.

Almost surely, 2^630806400 is an apocalyptic number.

630806400 is a gapful number since it is divisible by the number (60) 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 630806400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1351755000).

630806400 is an abundant number, since it is smaller than the sum of its proper divisors (2072703600).

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

630806400 is a wasteful number, since it uses less digits than its factorization.

630806400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 196 (or 166 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 630806400 is about 25115.8595313798. The cubic root of 630806400 is about 857.6274973548.

The spelling of 630806400 in words is "six hundred thirty million, eight hundred six thousand, four hundred".