630252144 has 80 divisors (see below), whose sum is σ = 1812279840. Its totient is φ = 209710080.

The previous prime is 630252131. The next prime is 630252163. The reversal of 630252144 is 441252036.

630252144 is a `hidden beast` number, since 630 + 2 + 5 + 21 + 4 + 4 = 666.

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 polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 353784 + ... + 355560.

It is an arithmetic number, because the mean of its divisors is an integer number (22653498).

Almost surely, 2^630252144 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 630252144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (906139920).

630252144 is an abundant number, since it is smaller than the sum of its proper divisors (1182027696).

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

630252144 is a wasteful number, since it uses less digits than its factorization.

630252144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2615 (or 2603 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

The square root of 630252144 is about 25104.8231222608. The cubic root of 630252144 is about 857.3762398774.

The spelling of 630252144 in words is "six hundred thirty million, two hundred fifty-two thousand, one hundred forty-four".