630442080 has 144 divisors (see below), whose sum is σ = 2161766880. Its totient is φ = 167307264.

The previous prime is 630442037. The next prime is 630442103. The reversal of 630442080 is 80244036.

630442080 is a `hidden beast` number, since 630 + 4 + 4 + 20 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 334581 + ... + 336459.

It is an arithmetic number, because the mean of its divisors is an integer number (15012270).

Almost surely, 2^630442080 is an apocalyptic number.

630442080 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 630442080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1080883440).

630442080 is an abundant number, since it is smaller than the sum of its proper divisors (1531324800).

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

630442080 is a wasteful number, since it uses less digits than its factorization.

630442080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2133 (or 2122 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

The square root of 630442080 is about 25108.6056960557. The cubic root of 630442080 is about 857.4623589854.

It can be divided in two parts, 6304 and 42080, that added together give a palindrome (48384).

The spelling of 630442080 in words is "six hundred thirty million, four hundred forty-two thousand, eighty".