630260800 has 168 divisors, whose sum is σ = 1689476936. Its totient is φ = 230031360.

The previous prime is 630260791. The next prime is 630260803. The reversal of 630260800 is 8062036.

It can be written as a sum of positive squares in 12 ways, for example, as 429981696 + 200279104 = 20736^2 + 14152^2 .

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (630260803) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3265504 + ... + 3265696.

Almost surely, 2^630260800 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 630260800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (844738468).

630260800 is an abundant number, since it is smaller than the sum of its proper divisors (1059216136).

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

630260800 is a wasteful number, since it uses less digits than its factorization.

630260800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 385 (or 370 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 25.

The square root of 630260800 is about 25104.9955188206. The cubic root of 630260800 is about 857.3801649809.

The spelling of 630260800 in words is "six hundred thirty million, two hundred sixty thousand, eight hundred".