630234000 has 320 divisors, whose sum is σ = 2465199360. Its totient is φ = 152640000.

The previous prime is 630233993. The next prime is 630234019. The reversal of 630234000 is 432036.

630234000 = 16⁵ + 17⁵ + ... + 39⁵.

630234000 is a `hidden beast` number, since 630 + 2 + 34 + 0 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 593470 + ... + 594530.

It is an arithmetic number, because the mean of its divisors is an integer number (7703748).

Almost surely, 2^630234000 is an apocalyptic number.

630234000 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 630234000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1232599680).

630234000 is an abundant number, since it is smaller than the sum of its proper divisors (1834965360).

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

630234000 is a wasteful number, since it uses less digits than its factorization.

630234000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1104 (or 1082 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 18.

The square root of 630234000 is about 25104.4617548355. The cubic root of 630234000 is about 857.3680122794.

Adding to 630234000 its reverse (432036), we get a palindrome (630666036).

The spelling of 630234000 in words is "six hundred thirty million, two hundred thirty-four thousand".